triangle given H, M(AB), midpoint of foot
Source: Bulgaria 1966 P3
June 23, 2021
geometryTriangles
Problem Statement
(a) In the plane of the triangle , find a point with the following property: its symmetrical points with respect to the midpoints of the sides of the triangle lie on the circumscribed circle.
(b) Construct the triangle if it is known the positions of the orthocenter , midpoint of the side and the midpoint of the segment joining the feet of the heights through vertices and .