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American geo in chile :o

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October 31, 2024
geometryChile

Problem Statement

Let △ABC \triangle ABC be an acute triangle with orthocenter H H , and let M M be the midpoint of BC BC . Let P P be the foot of the perpendicular from H H to AM AM . Prove that AM⋅MP=BM2 AM \cdot MP = BM^2 .
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