MathDB
Lines from vertices to some point are perpendicular

Source: 2012 Indonesia Round 2.5 TST 1 Problem 3

May 10, 2012
geometrygeometry proposedAngle Chasingcomplex numberscyclic quadrilateral

Problem Statement

The incircle of a triangle ABCABC is tangent to the sides AB,ACAB,AC at M,NM,N respectively. Suppose PP is the intersection between MNMN and the bisector of ∠ABC\angle ABC. Prove that BPBP and CPCP are perpendicular.
Back to ProblemsView on AoPS