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triangle reconstruction, 3 points given, 3 equal segments related

Source: Oral Moscow Geometry Olympiad 2015 grades 8-9 p3

August 8, 2019
geometryconstructionequal segments

Problem Statement

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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