What is the radius of the largest circle that can be inscribed in a triangle with side lengths 13, 14 and 15?

2 answers

The center of the inscribed circle is at the intersection of the bisectors of the angles. The radius is the distance from that center to each side perpendicular to that side.
Use Heron's formula to find the area A.
Then A = rs
where s is the semi-perimeter.