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Isosceles Triangle

Source: 1962 All-Soviet Union Olympiad

January 15, 2018
geometryRussia

Problem Statement

In a triangle, AB=BCAB=BC and MM is the midpoint of ACAC. HH is chosen on BCBC so that MHMH is perpendicular to BCBC. PP is the midpoint of MHMH. Prove that AHAH is perpendicular to BPBP.
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