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RU-ALLRUSSIAN 1988 Problem 17

    In the acute- angled triangle ABC, the altitudes BD and CE are drawn. Let F and G be the points of the line ED such that BF and CG are perpendicular to ED. Prove that EF=DG\mathrm{EF} = \mathrm{DG} .

    Dataset text NuminaMath olympiads. Quoted with source.

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