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RU-ORAL-GEOMETRY 2015 Problem 3

    In triangle ABCABC , points D,ED, E , and FF are marked on sides AC,BCAC, BC , and ABAB respectively, so that AD=ABAD = AB , EC=DCEC = DC , BF=BEBF = BE . After that, they erased everything except points E,FE, F and DD . Reconstruct the triangle ABCABC (no study required).

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