prove that the line PQ bisects AD
Source: Sharygin Finals 2023 10.5
August 2, 2023
geometrySharygin Geometry OlympiadSharygin 2023
Problem Statement
The incircle of a triangle touches at point . Let be the midpoint of arc of the circumcircle, and , be the projections of to the external bisectors of angles and respectively. Prove that the line bisects .