MathDB
Turkey TST 1997 Problem 1, sum of inradii

Source: Turkey TST 1997 Problem 1

November 30, 2011
geometryinradiusincenterarea of a trianglegeometry proposed

Problem Statement

In a triangle ABCABC with a right angle at AA, HH is the foot of the altitude from AA. Prove that the sum of the inradii of the triangles ABCABC, ABHABH, and AHCAHC is equal to AHAH.
Back to ProblemsView on AoPS