MathDB
A'B', B'C', C'A intersects the incircle in two points

Source:

August 29, 2010
geometrygeometric transformationreflectiongeometry unsolved

Problem Statement

Let AA′,BB′,CC′AA',BB', CC' be the bisectors of the angles of a triangle ABC (A′∈BC,B′∈CA,C′∈AB)ABC \ (A' \in BC, B' \in CA, C' \in AB). Prove that each of the lines A′B′,B′C′,C′A′A'B', B'C', C'A' intersects the incircle in two points.
Back to ProblemsView on AoPS