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