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balkan G-2 2014

Source: Balkan MO G-2

June 10, 2015
geometry

Problem Statement

Triangle ABCABC is said to be perpendicular to triangle DEFDEF if the perpendiculars from AA to EFEF,from BB to FDFD and from CC to DEDE are concurrent.Prove that if ABCABC is perpendicular to DEFDEF,then DEFDEF is perpendicular to ABCABC
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