Why is the side opposite to an obtuse angle always the longest? i have been brushing up on my geometry and cant really come up with it. obviously you can measure it but without measurements, how is it possible to tell?
gee I dunno use the fucking cosine theorem maybe
>>8949155
angle sizes correspond to opposite side lengths
sorry for the bump, have a CAT scan of my skull
>>8949164
handsome, mf
>>8949155
i feel bad for you....
>>8949155
Look at the pic. XC is greater than BC due to the pythagorean theorem.
>>8949155
Let a be an obtuse angle of a triangle. Then a > 90°. But this means the other two angles < 90°. This a is the largest angle and its corresponding side must be the largest.
I mean, intuitively, the bigger the angle, the more it has to "stretch," right? I'm sure there's a proof out there, but this seems like one of those intuition things
Look up "Triangle Inequality"
>>8950266
This
There's more than 1 proof to this, but more than that it is intuitive. The bigger angle will always get the bigger side.
Sine rule. Angles and their opposing sides are related. Bigger angle = bigger side
>>8950312
So bigger dick, bigger brain?