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Regional Olympiad - FBH 2010 Grade 12 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2010

September 27, 2018
geometryaltitudesEuler Circle

Problem Statement

Let AA1AA_1, BB1BB_1 and CC1CC_1 be altitudes of triangle ABCABC and let A1A2A_1A_2, B1B2B_1B_2 and C1C2C_1C_2 be diameters of Euler circle of triangle ABCABC. Prove that lines AA2AA_2, BB2BB_2 and CC2CC_2 are concurrent
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