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4 equal circumcircles, orthocenter

Source: Polish MO second round 1956 p2

August 29, 2024
geometryequal circlesorthocenter

Problem Statement

Prove that if H H is the point of intersection of the altitudes of a non-right triangle ABC ABC , then the circumcircles of the triangles AHB AHB , BHC BHC , CHA CHA and ABC ABC are equal.
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