I feel like I'm missing something

>>8802891
Oh nevermind a hexagon with all sides equal has angles equal to 120 so i have 30-60-90 triangle etc

>>8802895
>literally 10th grade trig

>>8802891
Are you American?

>>8802891
It's not solvable without more information, I expect you're supposed to assume that's a regular hexagon but it's not stated.

you can find an answer in terms of PQ or QS

>>8803388
>I expect you're supposed to assume that's a regular hexagon but it's not stated.
>All sides shown to be equal

What did he mean by this? Or is this another case of american education?

>>8803403
>you can find an answer in terms of PQ or QS
>PQ can be shown to equal 50 so a numeric answer is possible

What did he mean by this? Or is this another case of american education?

If i was doing it, id assume the hexagon has side length 1

>>8803427
>id assume the hexagon has side length 1
>clearly stated that the side length is 50

What did he mean by this? Or is this another case of american education?

>>8803408
All angles aren't shown to be equal

>>8803450
>a hexagon with all equal sides but not all equal interior angles can exist

What did he mean by this? Or is this another case of american education?

>>8803465
Kys

>>8803469
>kys is an argument

What did he mean by this? Or is this another case of american education?

>>8803492
>american education?

What did he mean by this? Or is this another case of american education?

>>8803465
You're assuming that all the interior angles are less than 180 degrees.

>>8802975
i learned this in middle School

>>8803521
>an author would represent a concave hexagon like that
>high school even covering concave polygons at all
>being so autistic that if it doesn't explicitly mention that the polygon is convex then you can assume it isn't in a geometry class where convensions are usually the first things that are stated

What did he mean by this? Or is this another case of american education?

A convex hexagon with equal sides doesn't necessarily have equal interior angles.

>>8803521
Is everyone here retarded?
It is shown
>All sides of the hexagon are of equal length
>PR is a 90° angle, and the line Q spanning to its opposite vertice is perpendicular to PS, which also spans from vertice to vertice.

All lengths are equal and all major angles inner of the hexagon are 120°

@OP, I'm perplexed about this "50" but I'll assume its length. Just use pythagoras and some trig and you should be good.

>>8803543
All that shows is that it's symmetric, not that the angles are 120°

>>8803543
Good observation, but still, we could conceivably move R to the right which would decrease length PS and make the angles unequal, while preserving all the properties.

File: a.png (8KB, 335x338px) Image search: [Google]

8KB, 335x338px

>>8803465
something like this, I imagine

>>8803563
Theyre the same

>>8803622
Show me the construction or you are fake news.

>>8803663
Consider the case where QR=50, PS=0. Then the hexagon has interior angles of 0,180,180,0,180,180.

File: b.png (34KB, 490x494px) Image search: [Google]

34KB, 490x494px

>>8803670
This should make it more obvious the outer line segments all have the same length.

>>8803711
I'm calling CNN. You are fake news.

>>8803681
All sides of the hexagon (and its clearly a hexagon) are equal. So PS couldn't be 0.

If it was, it wouldn't be a hexagon

This is me
>>8803736
>>8803663

Just realised im wrong. Good diagram >>8803711

>>8802891
QR = 25.
PS =50sqrt(3)

Answers pulled from my ass. Feels free to correct it.