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0541 geometry 5th edition Round 4 p1

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May 6, 2021
geometry5th edition

Problem Statement

Let ABCABC be an acute angled triangle. Let MM be the midpoint of BCBC, and let BEBE and CFCF be the altitudes of the triangle. Let D≠MD \ne M be a point on the circumcircle of the triangle EFMEFM such that DE=DFDE = DF. Prove that AD⊥BCAD \perp BC.
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