>if he's buff, he must be stupid

Square root of 69 is 8some, because I've been trying to work it out all night

>>37056717
just do 0.5bh senpai. 10 is the base and 6 is the height

>>37056717
Tell that to dolph lundgren

>>37056717
>he studied and worked instead of going parties, he must be a virgin

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>>37056717
>not being a genius and loving lifting

>>37056717
It's like a special 3 4 5 triangle but the sides are 6 8 10 (double the length of 3 4 5)You retards can figure out the rest

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school is designed to make you autistic by giving you questions nobody cares about and if you get an A you're basically living in some cartoon faux world after graduation

What should be covered instead
>How to lie
>How to fuck
>Firearm safety

because it's the only things you'll actually do

24

>>37056823
You're not even looking at the picture dumbass. 10 is the length of the outside big triangle. 6 is the length of the side of the inner triangle.

>>37056717
24

>>37056717
can I get a confirmation that the answer is 24? I solved for the base using sin(x) = 6/10, then solved for the height.

>if you don't have arbitrary geometric formulas from 10th grade you're dumb

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>>37056717

This triangle literally can't exist

>>37056847
I actually had that question in a programming class.

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Sometimes I am ashamed that I spend so much time here.

>>37057042

>he doesn't know the Pythagorean theorem

>>37057031
You are doing it wrong senpai

>>37057055
according to your logic, if the height was 6, then the base would not be 10. The base would be the bottom portion of the triangle, and the hypotenuse would be 10-x (x = the portion cut off by the altitude).

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>>37057083
OH FOCK, someone cant be this dumb

holy fuck you guys are retarded

a^2 + b^2 = c^2

>>37057097
wow stellar job at providing a counter argument

>>37056717
it's an impossible triangle

>>37056717
30 retards

(10x6)/2

Just think about it for a sec, a triangle is half a rectangle. Altitude = one side, hypotenuse is the other

>>37057108
base*height/2 is hard lmao

>>37057129

10 is the hypotenuse of the big triangle, not the bottom of the smaller triangle.

it would be (6 * (10-x))*1/2

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>>37056728

>>37057107
lmao the whole side is 10 bud

>>37057145
Do me a favor and flip the triangle over.

>>37057144
yea the base isn't the fucking hypotenuse. You have to be trolling me lmao

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>>37057114
>>37057044
>>37056881
>>37056952
>>37056728
/fit/ this is why i love you holy fucking kek

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>>37057145
you are special senpai

>>37057108
lol that wasn't the guy who posted the picture, which is me. I understand what you mean by,"the bottom portion of the triangle," however, the "bottom" of a triangle is subjective. Using 10 x 6 would yield the same result as the "bottom portion" shown in the picture x the side in the picture.

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>>37057171
>this stupid

>>37057145
>he can't rotate images in his mind

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>>37057160
grade 9 math kek

>>37057158
>>37057159

ok now you only have on side retards

>>37057171

great b8, that's not applicable in this scenario

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>the whole of /fit/ can't answer this basic geometry problem
>mfw

>>37057181
lmao he can't admit he's wrong either

>>37057129
To clarify, imagine the halves as separate. Each is half a rectangle.

One's area is equal to (6 * x)/2, the other (6*y)/2, and x+y = 10

Simplify: (6x + 6y )/2

3x + 3y

3(x+y)

3(10)

30

>>37057183
you just blew your cover m8, try to be more convincing in your trolling

>>37057184
>one side
I LITERALLY HAVE NO SIDES BECAUSE I AM LAUGHING SO HARD AT YOU

>>37057189
>>37057196

nice assumption that it's 90 degrees holy shit

just use the fucking pythagorean theorem

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>>37056717
So the little triangle is a red herring right?

Hypotenuse is square root of 6^2 + 10^2

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>>37057191
This is the correct answer

Are you all actually retarded or just pretending

>>37056847
>take over goat
>take over cabbage
>bring goat back
>swap out goat for wolf
>return to pick up goat

Ez. And I barely passed high school.

>>37057203
it has to be 90 degrees to use pythagorean theorem you memer

>>37057203
how, fucking give me an example of how you would use the pythag. theorem on this easy ass fucking problem you goddamn moron.

I M P O S S I B L E T R I A N G L E

10*6/2 implies the area must be 30. But then the two legs x,y must be x*y = 60. With the Pythagorean theorem, x^2+y^2 = 100. Solving the two equations simulataneously yields imaginary solutions.

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Wow /fit/ is fucking dumb

>>37057297
you didn't even answer the question lmao

>>37057297
>"hurr durr it looks like it's 90degrees on each side so im gonna assume it must be that"

>>37057297

>small right triangle has leg and hypotenuse of equal length

stop instigating

>>37057311

How can a right triangle have two sides of the same length? The question is impossible

>>37057313

All three triangles are similar. Do you even altitudes bro?

>>37057297
10 is the long leg of the big triangle

>>37056847
>not going to a top 20 uni and making 90k a year straight out the gate

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>>37057325
>How can a right triangle have two sides of the same length? The question is impossible

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>>37057255

do you want me to wipe your ass too?

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Holy shit /fit/ is fucking stupid
....

Not surprised desu but kek

>>37057375
Youre all fucking idiots lmao

>>37057353

What don't you understand

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>>37057375
You would like that.

>>37056717
Don't you just times 6 by 10?

>>37056753
Goal life.

>>37057375
>>37057402
HAHAHHAHHAA ALSO, ALSO.
WHAT IS 100-36
ARE YOU THAT FUCKIG DUMB
WHAT ARE YOU 11?

>>37057402

yeah and now you have B so solve for Z

>>37057433
HAHAHAH YOU'RE SO FUCKING DUMB IT'S HILARIOUS

>>37057187
>basic
This thing is a pain in the ass. I want to work through this but I fucking hate doing algebra. Its pissing me off enough that I may though.

>>37057375
b^2=10^2 + 6^2 even though that is the wrong way of doing it you still managed to fuck it up.

>>37057425

including or excluding 36?

>>37057448
Its literally just plugging in 6(10)/2. Its 30. Holy shit

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>>37056717
>no unit measurements
Pass

>>37057425
>>37057463

you need to specify if you want to exclude or include the 36 dude

36, 37, 38, 39

vs

37, 38, 39, etc..

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>>37056717
>what are similar triangles
>what is Apollonius' circle theorem
If normies can't solve this then America is truly fucked.

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>this thread

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I tried solving for theta but it didn't work. What the fuck am I doing wrong?

>>37057396
You stupid fuck you phrased it wrong

Right triangles can't have a leg and hypotenuse of equal lengths but the two legs can be of equal length

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How about an actual problem?

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>>37056728

You do the circley thing...There is no such triangle.

>>37057448
It isn't fucking possible you dense mother fucker

This triangle can not exist

altitude is a height
10 is a base

dumbfucks

>>37057375

The Pythagorean Theorem only holds for right triangles. The 6/10/b Triangle you've presented is not a right triangle. You jackass.

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>>37057541
Shh let them argue

>>37056717
"A right triangle has a hypotenuse equal to 10 and an altitude to its hypotenuse equal to 6"

An altitude "is a ling segment through a vertex and perpendicular to a line containing the base"

Therefore the value of 10 is the entire length of the large triangle, because the problem defined the altitude as intersecting the 10 value hypotenuse.

area = 1/2BH
= 1/2 (10)(6)
= 30 units squared

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You all are fucking autistic, ignore the picture that's what you're all doing wrong. The picture shows the hypotenuse (which=10) to be the right of the 90 degree angle, NOT across from it. So we know that the picture is fucked up to begin with, so we will ignore it.

>Hypotenuse = 10
>Another side = 6
> a^2+b^2=c^2
>36 + b^2 = 100
>b^2=64
>b=8

So we know that the other missing leg is 8 units long.

>A=.5BH
>A=(.5)(8)(6)
>A=24

Anybody else is wrong, this is the end of the thread.

30
A = (b * h) / 2, you mongs. Turn the triangle so the hypotenuse is the base.

>>37057297
stop

>>37057575
The base is 10 you fucking moron

>>37057575
the whole side of the triangle is 10 you retard. The side you mention is 10-x

>>37057614
this gave me cancer

>>37057614
HAHAHAHAHAHAHAHAHHAHAHHHHHAAHAHHAHAHAHAHAHAHAHAHSHAGGFSCSJDI

>>37057614
how do you know it's 6 and 4 units of the hypothenuse?

>>37057614
>two base angles are equal but the triangles aren't isosceles
Is /fit/ truly the dumbest board? This is actually heartbreaking

>>37057614
how do you know that the line splits two 45 degree angles?

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help me pls

>>37057643

Because it's a 345 triangle

It's 30 you stupid fucks are you retarded jedesu Christ man

>>37057599
The base? it literally says "hypotenuse is equal to 10"

The base of a fucking triangle is whatever side is on the bottom, if you rotate the picture 180 degrees o shit nigger now the base is something else equal to 10 how the fuck will we ever solve this problem when the fucking lengths of the triangle change just by holding my fucking laptop upside down

oh wait thats not fucking right and the problem never even addresses the "base" of the triangle. Besides in my explanation I called the hypotenuse to be = 10, now glance at that picture and which side of the triangle is the hypotenuse? is it the side thats most at the bottom? is that the fucking base? jesus christ i hope you are a troll cuz u got me real fucking heated

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>>37057614
>Yfw you went through all this trouble to diagram this shit in paint

IT"S IMPOSSIBLE
see
>>37057517
the angles don't work

>>37057517
>>37057664
Correct. Impossible dimensions.

Most people here do not understand the difference between a base and a hypotenuse, so they haven't even made it this far.

>>37057653
holy shit are you retarded or just a 11 year old troll? a 345 triangle doesn't have two 45 degree angles. And it's not even a 345 triangle

>>37057661
Base= side that the altitude (read: height) is perpendicular to. Holy shit

>>37057575
>Another side = 6
> a^2+b^2=c^2
>36 + b^2 = 100
>b^2=64
>b=8
Idiot 36+b^2=(10-x)^2

>>37057267
This is correct. I had a more complicated explanation that ended also with imaginary roots.

gj mathfag

>>37057638
45-45-90 triangle rule
>>37057642
Base angles are equal if the triangle with hypotenuse 10 is isosceles
>>37057643
It's an assumption, otherwise the problem is impossible

>>37057672
to think that I share this board with these idiots...

>>37057650
Let's for the sake of argument say that 10 is the length opposite beta 1. We can use Apollonius' circle theorem to conclude that the larger right triangle and the smaller triangle are similar. From there you can figure out the height. If the height is h, we have A = h * sqrt(10^2+6^2), but by similarity h/sqrt(10^2+6^2) = 10/6, so you have h = 10*sqrt(10^2+6^2)/6, so A = 10*(10^2+6^2)/6

>>37057675

It actually is a 345 triangle, he is wrong about the angles tho

>>37057694
how can the same angles of a triangle have different opposite side values? go back to middle school please.

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It's impossible

>>37057694
>Base angles are equal if the triangle with hypotenuse 10 is isosceles
Which they clearly aren't. Holy shit you're beyond retarded

>>37057117
I hate these

>>37057712
Did you even bother to read? This only proves that the dimensions and this problem are impossible to solve. You're the retard.

>>37057575
So in the little right triangle the hypotenuse has the same length as the altitude?

Kill urself

>>37057267
>>37057267
>>37057267
>>37057267

>>37057679
>>37057683
Alright you faggots, explain to me what exactly the "altitude" of the hypotenuse is? Because the line labelled 6 wouldn't represent the height of either the bottom most line or the topmost line. It's just randomly thrown in. The fucking picture is unrelated to the actual word problem. Just read the text and imagine this triangle in your head fresh, and you'll see it's literally just any other right triangle.

>>37057715
It doesn't prove shit. None of the triangles are isosceles so no two angles in any of them can be equal you fucking retard.

>>37057727
Dear fucking god you must have the visual perception of a fucking two year old.
I just proved that the fucking triangle has impossible dimensions you god damn moron.

I just want you to know you're all retarded, I love you /fit/

>>37057725
An altitude is a perpendicular line that connects from the vertice of one angle to to the opposite base.

>>37057708
Correct conclusion, incorrect reasoning.

>>37057725
It says altitude because of 6 is the height of the triangle

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This is high quality bait.

>>37057740
No you didn't fucking idiot. >>37057267 this guy did, while you literally just scribbled some stupid shit on an image with painfully wrong values assigned to the angles/lengths.
>this is the state of American education
Common core can't be properly implemented soon enough

>>37057740
Jesus christ /fit/s math knowledge beyond counting reps and sets is fucking retarded. Go to bed or better yet take a geometry course

>>37057753
Hahahhah are you retarded?
1)Make a 10cm line
2)from a point on the line make a 6cm line perpendicular to the 10 cm line.
3)draw two lines from the other end of the 6cm to both ends of the 10cm line.

i guess we're meatheads

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>>37057725
lol made the triangle and hes right. Hypotenuse is still 10, altitude is still 6, so obvs the other side is 8...

>>37057769
>what is a right triangle

>>37057758
>there's only one way to prove something is wrong
Your fixation with doing things word for word by the book is the reason most people can't perform simple tasks because they can't think outside the box.

>>37057777
The area is still 30 YOU FOOL

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>>37057776
This is actually heartbreaking. I was hoping that /fit/ could break the mould but I guess even that's too much to ask

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>>37057777

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>>37056717

>>37057778
So?

>>37057782
Your "proof" is wrong though, and it's been shown countless times.
Just stop posting, you're only embarrassing yourself a this point

>>37057787
No its just the fucking retards of the world (read:australia) are up right now.

I've been working this for like half a fucking hour and i keep getting 29
WHat the fuck.

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>>37057800
>So?

>>37057810
Makes sense

>>37057810
But it's only 10pm in the west coast mate.
>Australians have access to internet
Fuckign terrifying

>>37057785
Pls explain. Area is 1/2 BH, 10 is the hypotenuse so is neither the base or height. It's not 10x6(.5) if that's what you're thinking.

>>37057802
Embarrassing my self by posting on an anonymous Turkmenistanian inspired cartoon image board? I couldn't give a fuck less.
Proven countless times by who? You? All you've done is quoted me calling me a retard without posting any proof, you're the idiot at this point.

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now?

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>>37057810
why are australians so stupid?

>>37057828
wow that makes it a lot easier.
Its 23

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Hey /fit/, what's the area of this square? 88% of lifters can't answer this.

>>37057838
This thread is gold kek

>>37057828
This is exactly what I'm saying here
>>37057725
>>37057575
The fucking picture given doesn't even make sense, there's 3 different triangles in the picture and no angle is labelled so you don't know which they are talking about.

>>37057823
Your diagram is wrong man..

>>37057838
There you go.

>>37057825
>I couldn't give a fuck less.
Clearly since you're still posting
>by who
Literally everyone that replied to you dumbass.
>All you've done is
I've shown your diagram is completely false and does not follow from the problem, at least in Euclidean geometry.
>hurr if I do stupid shit and reach a contradictions then it's the problem's fault
Literally manchild. Crawl back to your mother's vagina and do the rest of the world a favor.

>>37057838
lmao

>>37057844
10x50,000,000(.5)=250,000,000 too easy, next.

>>37057851
learn to read before you math pls

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>>37056717
"hypotenuse equal to 10"
=1/2*b*h
=1/2*10*6
=30

ding ding ding
>>37057129
>>37057573 bonus points for units

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>tfw /fit/ is stupid

The intersect of the altitude with the hypotenuse is 90deg on each side by definition of an altitude.

ergo the altitude is a straight line showing the height of the triangle

i.e. 1/2*10*6=30

this whole question is just recognising the definition of the terminology used and applying it

Anyone in this thread who says it's anything besides impossible is actually retarded

>>37057856
Everyone that replied to me using memetics? Assuming that the altitude bisects the triangle, the sides would have to be congruent. Given the fact that the altitude is 6, and using the 45-45-90 triangle rule, it shows that the triangle is not isosceles, since the remaining two sides are not 6 root 2.
I can't see what's so hard to comprehend here.

>>37057876
Don't cry for a bunch of retards; it's unbecoming.

>>37057883
Post your opinion on /sci/ so they can have a laugh

>>37057876
>tfw /fit/ ignores the actual answers and instead reply to the dumbasses
>tfw /fit/ intentionally keeps this thread alive by giving attention to the retards, which produces the illusion that /fit/ is full of them

>55 posters
>166 replies

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>>37056717
guys help me

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>>37057884
>I started from a false assumption and reached a contradiction
Wow no fucking shit
>Assuming that the altitude bisects the triangle, the sides would have to be congruent
>bisects the triangle
>sides would have to be congruent
Lmao fucking retard. How do you bisect a triangle? The sides are congruent modulo what? Stop using terminology you have no idea of. It makes your retardation even more painfully obvious.
The altitude neither bisects the base angle nor the hypotenuse btw lmfao

>>37057884
>bisects
Does it like the 2 sides are equal anon?

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>>37057690
In /fit/'s defense, if you're told "here's a triangle, find X," you assume that the person handing you the problem isn't a faggot trying to trick you. But on 4chinz, you should assume the opposite.

For anyone who cares this is a way to show it's impossible. The 2nd thru 4th statements are just using pythagorean theorem on the two smaller triangles and the large triangle. Then substitution leads to a quadratic eq with no real solutions.

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>>37057912
tfw You will never cj a ratio like that

>>37057925
Bisects the triangle's base angle you fucking weeb. There's no other way to attack this problem other than making assumptions, there's not enough information. If two angles have the same degree measure, their corresponding sides must be congruent. You find the length of the base with the assumption that the altitude bisects the base angle, the smaller triangle becomes a 45-45-90 triangle because the altitude creates a right angle when it connects to the hypotenuse. The longest side of the smaller triangle, or the base of the big one becomes 6 root 2. The big triangle, since it's right, and has one 45 degree angle, implies the final angle must be 45 degrees, therefore the the final side must be 6 root 2 as well, but it's not.

Whos the idiot who posted this on /sci/ and couldnt even put up the actual op pic

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>>37057958
>There's no other way to attack this problem other than making assumptions, there's not enough information.
Except that >>37057267 this guy did without making stupidly false assumptions lmao.
The altitude is defined to be the line that intersects the hypotenuse at right angles, and this is enough to uniquely determine it. Any more information on it, such as "it must bisect the base angle", will overspecify it which makes such a line not exist in general. Of course if you knew any algebraic geometry you'd know this, but with the stupid shit you've already posted I can safely assume that you don't even understand basic elementary school-level Euclidean geometry
>hurr w-weeb
Gets BTFO by a weeb. How pathetic.

alright I'm drunk and didn't read any of the replies and have never heard of the altitude of a triangle before, but here goes.

Given the "altitude" line meets the hypotenuse at a 90 degree angle, it's probably a 30 60 90 triangle; since we already know the altitude length we can derive the hypotenuse of the smaller triangle created by the altitude line - which is the height of the triangle - and then ask Pythagoras to tell us the base length, which is then used to find the area.

If not right, someone tell me my flaw pls. I couldn't afford to finish my math minor so this is a sore spot for my ego.

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>>37057117
done

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help

>>37057947
why did it take so long for someone to post this? good job bro

>>37058004
Sir you win all of my Reddit gold :^) simply epic you beautiful bastard

>>37057862
WHY DID YOU MULTIPLY BY .5 YOU'RE SUPPOSED TO DIVIDE BY 2, FAGGOT

>>37058017

he's wrong. we already did the pythagorean theorem. 8+6 > 10, therefore it's a valid triangle

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30 you fools

>>37057986

>Given the "altitude" line meets the hypotenuse at a 90 degree angle, it's probably a 30 60 90 triangle

Wrong

>hypotenuse of the smaller triangle created by the altitude line - which is the height of the triangle

Wrong again. The height of a right triangle is the side adjacent to the right angle

>>37058010
i kek'd

>>37058004
Euler path bruh

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can you guys do this? if you cant i have bad news...

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>>37058034
You mean Hamiltonian path. Also I'm pretty sure it's provable that the problem is unsolvable using graph theory

>>37058017
thanks bro, and also props to this guy who got there before me and whose solution was simpler
>>37057267

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>>37058038
Nice try slut. You never specified which manifold we're on

>>37058053
Wow. You drew that just now? Did you get your phd in math? I could use a mentor...

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>>37058038
faggot

>>37058080
Only if you become my qtpie bf

>>37057830
Oh we have a tough guy here huh....... unsheathes my twin katanas Well, let's see how tough you really are! jumps into the air TAAAAKE THIIIIIIIIIIIIS spins around and slashes your face open Not so tough now, huh?????

>>37056740
Only works on right triangles

>>37058115
it is a right triangle

>>37058115
And literally every other triangle you dummy. Youre think of pythagorean theorem

>>37058135
Well, yes, but the 6 is not the height of the right triangle's shorter leg. What we really need is a few angles desu

>>37057708
You got 1 outta 10 on this quiz. Your entire reasoning is wrong. Right answer though.

so what's the consensus? is it 30 or is it impossible?

>>37058165
>awards 1 point for wrong reasoning
Don't do that mate

>>37056717
>I bet you can't solve this
>it is unsolvable
I HATE YOU SO MUCH EDGY MOTHERFUCKERS.

Holy shit, I didn't realize fit was so stupid. Literally all the other threads that have had this problem posed in other boards almost immediately came to the conclusion that it was impossible and carried on doing other math problems, and they certainly didn't have these 100+ replies still incorrectly calculating this shit out.

>>37058167
Both. If it is 30 it cannot be a right triangle as the maximum alitude a hyp of 10 can have is 5. So either it is a regular old non right triangle in which case itd be 30.

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It's 36, not hard if you know the pattern.

>>37057708
Square root of 136 is 12..
huh, you learn something new everyday.

Holy shit /fit/, what the fuck is wrong with you? If any solution doesn't contain the cosine rule, it is objectively wrong. 6 is the length from the bottom left corner to the hypotenuse, not the height of the triangle. It's not just 6^2 + B^2 = 10^2 and then area = 1/2 * (B + 6) you fucking spastics.

OP literally proving himself right.

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>>37057575
>assuming pythagorean theorem correct for non-right triangles
>having autism
>potentially being b8d
>what is law of cosines

>>37058238
Those x's aren't the same you dumb faggit. It's 30

>>37056717
Is this triangle natty?

>>37058207
>Both
No. Absolutely not both. The problem reads:

>"A right triangle has a hypotenuse equal to 10 and an altitude to its hypotenuse equal to 6."
>right triangle
>right

The triangle is GIVEN to be right and have those dimensions. As that triangle cannot exist, there is NO AREA, and certainly not fucking 30, so definitely not "both".

>>37058109
back the fuck off?????!!

>>37058287
kek

>>37058287
Nah it's imaginary. Most likely a fraud

>>37056717
This is a genuine question for someone interested in learning more. Is the altitude even necessary to figuring out the area?

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Step up fit. The answer is 4.5x4. An altitude of 6 is totally possible in a right triangle with a hypotenuse of 10.

>>37058369
>doesn't know what altitude means
Oh boy. Here's your (You)

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>>37056805

>>37057083
You're fucking stupid. Hope you're jacked at least, that's all you got going for you fuckboi.

>>37058147
holy shit you're retarded.

>>37058369
>right triangle
>81 + 16 = 100
Yeah m8, totally possible, right.

>>37058470
Close enough desu

If such a triangle existed, the area would be 30. There's your answer.

But Anon I am dumb. I dropped out at 9th grade.

>>37057810
>high school students having a giggle about the maths problem their teacher walked them through earlier that day
I dare you faggots to study metabolic physiology as a degree.

The tricky part of this is having to google what an altitude actually means because geometry is taught to very basic standards because fuck Euclid right? Then once you've established it's the height, it's just 0.5 * 10 * 6 = 30

30 Sq. Units.

>>37056717
Okey are we just assuming the angle between the smaller and larger triangle is 90 degrees? Because if not i think this is impossible. Because as it looks now it could just as well be 89 and 91 degrees

>>37058537
>are we just assuming
>right triangle
>established hypotenuse
wot m8?

Every one of you in this thread is a stupid fucking faggot.

If you break the hypotenuse into the sections before and after the line labeled 6, let's call them A and B, then set up all the equations you can, you get the same number of variables as you have equations.

> A = xy/2
> 10^2=x^2+y^2
> 10 = n + m
> y^2 = n^2+6^2
> x^2 = m^2+6^2
> ...so on and so forth

You faggots know enough math to plug and chug away for hours, but not enough to know at first glance that something is unsolveable.

Took me 30 seconds.

How do you keep an idiot busy?

SEND HIM TO COLLEGE

Imagine how great this place would be if we had anyone here who'd finished primary school

>>37058631
I don't get any of this

>>37056717
triangle 1 (small one on the right)
6^2+X^2=H^2
Triangle 2 (larger one on the left)
6^+(10-X)^2=B^2
Traingle 3
B^2+H^2=10^2

Shove together
2*6^2+2X^2-20x+100=100
x^2-10x+36=0
5+-sqrt(100-4*36)/2
5+-sqrt(-44)/2
it doesn't exist

>>37058631

Thank you.

https://en.wikipedia.org/wiki/Geometric_mean_theorem

The formula is A=(basexheight/2) not A=(hypotenusexaltitude/2)

The product of the altitude and the hypotenuse is a meaningless number.

ITT: mathematicians acting like this shit is common sense

>>37058720
Its literally 9th grade math

>>37058720
Where the fuck do you see mathematicians?

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Guys, its totally solveable..and it's 30.

Bunch of lucky faggots with wrong method getting right answer ITT

>>37058724

>altitude
>geometric theorem
>trig
>Euclid

I mean c'mon you really think I know this shit?

https://youtu.be/GbQQcrwYHt0

>>37058748
I still can't remember what the fuck is a hypotenuse

>>37058748

Basic geometry and trig is taught in 8th grade. You don't need to know anything more to realize the triangle can't exist.

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>>37058207

>>37058776

>implying I remember everything I learned in 8th grade

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ITT

>>37057970
I'm OP and I actually cross posted it from Bungie.net in the first place.

For the record, the results there were similar.

>>37058744

are you high?

I'm actually kind of shocked at how well this has worked.

I mean threads like this always gained traction a few years ago but it actually looks like the general populace on this particular board are significantly more stupid than before. We used to joke about the idiot meatheads here but oh how the mighty have fallen.

>>37057575
http://triancal(dot) esy(dot) es
a = 10
ah = 6

Area = 30.

30 seconds of Google, for a practical solution you dumb fucks can't fuck up.

>>37058880

I mean to be fair testing people on one subject that they probably studied a few years ago isn't a great metric for general intelligence

>>37058631
>>37058744

Welp, I got owned.

>>37058866
I confirmed it, >>37058744 is legit.

Friggin' trig, every single time...

>>37058897

I'm seeing it now.

I am the one who is high.

>>37058892

Actually the one or two people who flat out said it was stupid to remember geometry formulae get a pass. What's worse is people trying to bluff and failing miserably.

I just find it amusing how this used to be a playground for very strange but indisputably intelligent people...and now this.

>>37057044
>>37057114
If it can't exist, how can I see it? Check m8, atheists.

>>37057901
>>tfw /fit/ intentionally keeps this thread alive by giving attention to the retards, which produces the illusion that /fit/ is full of them

>illusion that /fit/ is full of them
>/fit/ full of retards
>illusion

top kek. Where do you think we are, mate?

Too easy though, you are just not completely stupid if you can solve this.

>>37058053
kek. This is one of the better replies.

>>37058744
Now try solve that using simultaneous equations alongside V^2 + Z^2 = 100

>>37058744
>>37058897
>>37058920

Wait, no.

sin(90) just keeps getting factored out for no explainable reason.

What happened to sin(90)?

>>37058982

sin B = v/10 = 6/Z
zv=60
zv/2=30

sin 90 isn't necessary in there, but his theory is legit

>>37058982

sin(90) = 1 bro

>>37059006

kek.

Well that was actually a lot of fun. I love realizing how much I've forgotten.

I think I've never seen this much elaborate trolling in a single thread

>>37057083

If you wanna break 10 into x and z
The x+z = 10

[(X*6)/2] + [(z*6)/2] = Area of the two triangles, caluclated separately and added together
= [(x*6) + (z*6)] /2
= [(x*6) + ((10-x)*6)] /2. Here substitute the first equation, z expressed by x
= (x*6 )+ (60 -6x )/2
=60/2
=31.415

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>>37057117
It's impossible, because you have 3 rooms with 5 doors.

With a room with only 4 doors, you can enter the room and exit with a line and continue the journey. To solve the room with 5 doors, you need to have one end of the line inside whatever way you start. Since a line by definition has only 2 ends, you can only solve 2 rooms with 5 doors - since you have 3, it is theoretically unsolvable.

>*tips fedora*

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3 right angled triangles
1 of which can be used to get c immediately
substitute into other 2 equations

>>37059122

A most economical solution.

>>37056740
I got all geared up to do this all pythagorean style, then realised that an altitude to the hypotenuse is a simple right angled line. Turn the triangle to rest on its hypotenuse then bh/2 ez

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>tfw 3rd year math&phys student
>getting raped by le tribble integrals
>getting raped by electrodynamics
>raped by everything

lifting made my dumb ;_;

its a impossible triangle guys

>>37059152

No. The altitude is not the height, and the hypotenuse is not the base. The formula for the area of a triangle is derived from the formula for the area of a rectangle. The product of the altitude and the hypotenuse tells you nothing about the product of the base and height. The values of the hypotenuse and the altitude and could remain the same, but the values of the base and the height are dependent on the bisection of the altitude and the hypotenuse. The altitude could bisect the hypotenuse at ANY point without changing their respective values, but at each point the values of the base and the height would change, meaning the value of the area would change.

>>37059156
Tensors are shit aren't they

>>37059184

Wait, this isn't explained very well, for which I apologize. But base times height does not equal altitude times hypotenuse

>>37057414
Holy. Shit.
The answer is fucking 60. Nobody saw it but you, anon, well played

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I'm garbage at math and high as fuck right now. Having read no replies, I believe the triangle is impossible. Cause the altitude squared should equal the hypotenuse right? So which is stated to be not the case cause 36=/=10 so it's bullshit, right?

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>>37059241
>Cause the altitude squared should equal the hypotenuse right?

>>37056717
30... 6x10/2=30

Guys! Guys. Seriously. The altitude and the hypotenuse are not the same things as the base and the height. 30 is the correct answer, but not by virtue of the formula for the area of a triangle. There are a couple of different solutions, but again that isn't one of them.

I am the catcher in the rye right now.

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>>37059243
Nigga I haven't done this shit in years. I'm trying dammit.

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>>37059188

foundations of geometry(that prove basic shit using basic axioms) and statistical physics are even shittier

>>37057267
I like you

I'm literally almost retarded(IQ of 83) and I figured this out.

>what's an altitude?
>google search triangle altitude
>ok, so we have 2 right triangles
>they each have one side of 6
>and they each have a side that equal 10 when added together
>let's try guess and check
>maybe the two sides that equal 10 are 7 and 3
>7*6/2=21 3*6/2=9
>so the area of the whole triangle is 30, let's guess and check again to see if that's consistent
>how about 5 and 5
>5*6/2=15 5*6/2=15
>that also comes to 30 so it's probably consistent

It's funny seeing guys overthinking problems like this, trying to show off their terrible math skills, instead of just being intuitive and working on a solution. How does it feel to be dumber than a retarded [spoiler]girl[/spoiler]?

>>37057526
It's 24 this time, isn't it?

>all these people trying to find all the lengths and angles

Kek. Literally all you need to do is this.

>>37059122

it's literally (6x10)/2 you fucking imbeciles

>>37059268
Let the hypotenuse = x+y=10
Area = 0.5*6*x+0.5*6*y
Area = 3*(x+y)
Area = 3*10
Area = 30

>>37057575
Mixing up the altitude to hypotenuse and cathetus.
Do you even reading comprehension?

>>37059297
>I'm literally almost retarded(IQ of 83)
it's ok, just live among black people and you'll be average

>>37058026
Why is your base on top? :^)

>>37059297
this is the best bait i've seen on /fit/ in a long time on many levels

well played m8

>>37056847
Maybe if you have a retarded blue collar job that will be done by machines in a few years

>>37058238
You made assumptions about right triangles, again.

>>37057883
It's crazy how many just don't get it, or don't even understand what a hypotenuse is

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>tfw too intelligent to lift

>>37059665
Nobody cares the triangle is impossible, that doesn't mean you can't calculate its area

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>>37059681

>>37057947
Correct.
>>37058026
You don't know what a hypotenuse is or how to calculate area

>>37059687
Explain precisely why the hypotenuse can't be used as based to calculate the area through the classic A=0.5ba formula

>>37059602
This thread is giving me cancer. Are most of you trolling or what, /fit/ cannot possibly be this retarded.

Why are you faggots even arguing about angles? The question is literally "What is the area of the triangle?" Ignore the fucking angles, they don't even matter.

We have the base and the height so even a child should be able to solve this.

Tilted as fuck. Holy shit.

>>37059687
>>37059665
>>37059629
>>37057883
The diagram isn't accurate to the problem. Lot's of test do that or just don't include a diagram at all so that you can't just measure all the sides and angles.

There's nothing invalid about a triangle with a hypotenuse of 10 and an altitude to the hypotenuse of 6.

>>37056717

10 times 6 divided by 2 equals 30 you fucking 11 year old imbeciles

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Play around with the shapes. it's clearly impossible. The numbers do not add up.

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>>37057117

>>37056717
Lmao fit can't be this stupid who said this triangle was on a Euclidean plane? What if the triangle was on a sphere how you gonna solve it?

>>37059665
How about you give your answer in 3 significant figures faggot.

>>37057947
Do you even math bro?
It does have real solutions.
>[(10-CD)2 +62]+(CD+62)=100
>100-20•CD +CD2 + CD+62 =100
> -19•CD +CD2 +36 =0
>CD=(19±sqrt(192 -4•36))/2 ≈16.87

>>37057947
>>37059841
37057947
Do you even math bro?
It does have real solutions.
>[(10-CD)^2 +6^2]+(CD+6^2)=100
>100-20•CD +CD^2 + CD+6^2 =100
> -19•CD +CD^2 +36 =0
>CD=(19±sqrt(19^2 -4•36))/2 ≈16.87

>>37057828
that won't give you the area of the entire triangle my friend.

>>37059854
It does give the area of the triangle m8.
Go back to school.

>>37059869
If you use 6, ok, but 10 as a base is the length of the entire triangle, and that doesnt correlate with 6.

What im tryingt o say is you would have to find a base length for the portion on the right.

>>37056717
You're all overthinking it. The answer is impossible to conclude. Not because of any impossible, theoretical angles, but simply because the question never gives up enough information. Ten and six. Ten and six what? Miles? Inches? Feet? It could be a hypotenuse of 10 meters, with an altitude of 6 feet. It isn't specified...

>>37059665
y = +/- sqrrt( 50 +/- 10i sqrrt(11))

based sal khan

>>37059478
Literally just flip the triangle. Its still the same shape just different positioning. When you do the flip its easy to see that 6 is the height and 10 the base. The way its presented is meant to confuse,but can cleared up with a simple rotation.

>>37059884
>>37059903
fucking retards

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>>37056717
It's not a right angle triangle
It is still a triangle. Pic related drawn to scale

>>37059884
See
>>37059297

It's doesn't matter how you divide the 10.

9,1
8,2
7,3
6,4
5,5

All give you the same total area of 30.

>>37059918
i thought this but it says specifically its a right angle triangle so the answer is it cant exist

>>37059884
Ok. They ask you the area of the big triangle. And they give you one side and the altitude to that side (known as base and height) 10*6/2=30
If you wanna do it the long way, considering the the lower side as the base, it's calculated here >>37059852
Then you calculate the height to that base and it will give you 30 again

>>37056717

could the altitude be curved in the z direction?

does an altitude by definition have to be a straight flat line, if the altitude could curve than the area would be 24

>>37059945
Correct

There is no such thing as a right angle triangle with a altitude greater than half the hypotenuse

>>37059916
incorrigible dimwit

>>37059991

what about >>37059977
?

>>37060007
I'm obviously assuming no curved surface

I'm not sure how the geometry of this triangle would hold up on as curved surface 2bh. I have as feeling it would not meet the conditions

>>37060007
>>37060053
I just thought about it a bit more. On a curved surface the angles of a triangle added together become greater than 180° iirc. This means it is no longer a right angle triangle because all angle in a right angle triangle add to 180° with one angle being exactly 90°

>>37059841
>>37059852
I math bro. You can't even copy my work without fucking up.

>[(10-CD)^2 + 6^2] + (CD + 6^2) = 100
>you forgot to square the second CD

>100 - 20CD + CD^2 + CD + 6^2 = 100
>and you managed to magically drop the 6^2 from the brackets when you wrote this line

also, fyi, 2+2=4, for when someone asks you later and you fuck that up too

>>37057479
>he can't think in abstract units
just kill me senpai

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>>37057191
Only guy ITT that knows how it works and doesnt insult and rage others that dont know. Well done, anon

>>37059736
>There's nothing invalid about a triangle with a hypotenuse of 10 and an altitude to the hypotenuse of 6.
But then it wouldn't be a right triangle. And then there's no hypotenuse, which is only defined for right triangles

>all these people in disbelief that the answer is 30 or couldn't solve it in 5 seconds using bh/2

wew LADDY

>>37057725
altitude is literally a synonym for height you mong

>>37056717
1/2bh
0.5x6x10=30