TH bisects BC, circumcircle of acute related (2010 Kyiv City MO 9.4 )
Source:
July 13, 2020
geometrycircumcirclebisects segment
Problem Statement
In an acute-angled triangle , the point is the center of the circumcircle, is the height of the triangle, and the point is the foot of the perpendicular dropped from the vertex on the line . Prove that the line passes through the midpoint of the side .