MathDB

6

Part of 2000 Tuymaada Olympiad

Problems(1)

circumcircles are vertices of an equilateral triangle, right triangle wanted

Source: Tuymaada 2000 Juniors 6

4/28/2019
Let OO be the center of the circle circumscribed around the the triangle ABCABC. The centers of the circles circumscribed around the squares OAB,OBC,OCAOAB,OBC,OCA lie at the vertices of a regular triangle. Prove that the triangle ABCABC is right.
geometrycircumcircleright triangleSquares