MathDB
circumcenters

Source: Ukraine 1997

July 18, 2009
geometrycircumcirclegeometry unsolved

Problem Statement

Consider acute-angled triangles ABC ABC and APQ APQ, where P P and Q Q lie on the side BC. BC. Prove that the circumcenter of △ABC \triangle ABC is closer to line BC BC than the circumcenter of △APQ. \triangle APQ.
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