circumcircles are vertices of an equilateral triangle, right triangle wanted
Source: Tuymaada 2000 Juniors 6
April 28, 2019
geometrycircumcircleright triangleSquares
Problem Statement
Let be the center of the circle circumscribed around the the triangle . The centers of the circles circumscribed around the squares lie at the vertices of a regular triangle. Prove that the triangle is right.