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ASU 479 All Soviet Union MO 1988 prove that EF = DG, altitudes are equal

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August 8, 2019
geometryaltitudeequal segments

Problem Statement

In the acute-angled triangle ABCABC, the altitudes BDBD and CECE are drawn. Let FF and GG be the points of the line EDED such that BFBF and CGCG are perpendicular to EDED. Prove that EF=DGEF = DG.
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