MathDB
1999 Oral #5: Always the Side Lengths of a Triangle

Source:

October 20, 2012
geometryinradius

Problem Statement

Let rr be the inradius of triangle ABCABC. Take a point DD on side BCBC, and let r1r_1 and r2r_2 be the inradii of triangles ABDABD and ACDACD. Prove that rr, r1r_1, and r2r_2 can always be the side lengths of a triangle.
Back to ProblemsView on AoPS