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DEF equilateral if AD=BE = CF - 1993 Cono Sur Shortlist G6

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October 24, 2021
geometryEquilateralequal segments

Problem Statement

Consider in the interior of an equilateral triangle ABCABC points D,ED, E and FF such thatD D belongs to segment BEBE, EE belongs to segment CFCF andF F to segment ADAD. If AD=BE=CFAD=BE = CF then DEFDEF is equilateral.
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