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AUSTRIAN-POLISH 1979 Problem 1

    On sides ABAB and BCBC of a square ABCDABCD the respective points EE and FF have been chosen so that BE=BFBE = BF . Let BNBN be the altitude in triangle BCEBCE . Prove that ∠DNF=90\angle DNF = 90 .

    Dataset text AI-MO AoPS. Quoted with source.

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