MathDB
variable point on the line BC

Source: IMO Shortlist 2004 geometry problem G7

June 14, 2005
geometryinradiusincenterIMO ShortlistTriangle

Problem Statement

For a given triangle ABC ABC, let X X be a variable point on the line BC BC such that C C lies between B B and X X and the incircles of the triangles ABX ABX and ACX ACX intersect at two distinct points P P and Q. Q. Prove that the line PQ PQ passes through a point independent of X X.
Back to ProblemsView on AoPS