concyclic wanted, tangents of circumcircle related
Source: 2022 Oral Moscow Geometry Olympiad grades 10-11 p2
April 18, 2022
geometryConcyclic
Problem Statement
In an acute triangle , is the center of the circumscribed circle , is the point of intersection of the tangents to through the points and , the median AM intersects the circle at point . Prove that points and lie on the same circle.(D. Prokopenko)