angle wanted, centroid of AMN=orthocenter of ABC (Kyiv City Olympiad 2004 10.5 )
Source:
June 27, 2021
geometryCentroidorthocenter
Problem Statement
Let the points and in the triangle be the midpoints of the sides and , respectively. It is known that the point of intersection of the altitudes of the triangle coincides with the point of intersection of the medians of the triangle . Find the value of the angle .