IMO 2022 Shortlist G6
In an acute-angled triangle ABC, point H is the foot of the altitude from A. Let P be a moving point such that the bisec...
Category: Geometry
Problem
In an acute-angled triangle ABC, point H is the foot of the altitude from A. Let
P be a moving point such that the bisectors k and of angles PBC and PCB, respectively, intersect each other on the line segment AH. Let k and AC meet at E, let and AB meet
at F, and let EF and AH meet at Q. Prove that, as P varies, the line PQ passes through a
fixed point.
(Iran)