Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

geometry intermediate

Problem

Find the diameter of the incircle for a triangle whose side lengths are 8, 15, and 17.
Solution
If the side lengths are 8, 15, and 17, then we have a right triangle on our hands. That means the area is simply Now, we find the semi-perimeter

Plugging into and solving for inradius we have so However, the problem asks for diameter, so our answer is
Final answer
6