equilateral from line of circumcenter and centroid, <A=60^o
Source: 2006 Oral Moscow Geometry Olympiad grades 8-9 p6
October 17, 2020
geometryEquilateralCircumcenterCentroid
Problem Statement
In an acute-angled triangle, one of the angles is . Prove that the line passing through the center of the circumcircle and the intersection point of the medians of the triangle cuts off an equilateral triangle from it.(A. Zaslavsky)