A geometry problem from the TOT
Source: Tournament of towns Spring 2018 A-level P4
March 10, 2020
geometry
Problem Statement
Let O be the center of the circumscribed circle of the triangle ABC. Let AH be the altitude in this triangle, and let P be the base of the perpendicular drawn from point A to the line CO. Prove that the line HP passes through the midpoint of the side AB. (6 points)Egor Bakaev