projections distance on angle bisectors equals to inradius
Source: 2018 Oral Moscow Geometry Olympiad grades 10-11 p1
July 25, 2019
right trianglegeometryinradiusprojections
Problem Statement
In a right triangle with a right angle , let and be the angle bisectors. Let be the projections of on respectively. Prove that the length of the segment is equal to the radius of the inscribed circle.