Sample Question #199 (mathematics – geometry)
[For some reason, triangle questions are popular at quant interviews, especially at hedge funds]
Can you prove the following facts about a triangle?
- The total length of any two sides of a triangle is larger than the third side
- The difference in length between any two sides is smaller than the third side
- The three angles must add up to 180 degrees
- In a right triangle, a2+b2=c2, where a and b are the two right sides.
(Comment: I believe the purpose of questions like this is to see if you can think, and recall stuff you learned a long, long time ago, on your foot)