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Regional Olympiad - FBH 2018 Grade 9 Problem 5

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018

September 18, 2018
geometryangle bisectororthocentercollinear

Problem Statement

Let HH be an orhocenter of an acute triangle ABCABC and MM midpoint of side BCBC. If DD and EE are foots of perpendicular of HH on internal and external angle bisector of angle ∠BAC\angle BAC, prove that MM, DD and EE are collinear
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