olymmath

NL-NWO 1969 Problem 3

    Given a quadrilateral ABCDABCD with AB=BD=DCAB = BD = DC and AC=BCAC = BC . On BCBC lies point EE such that AE=ABAE = AB . Prove that ED=EBED = EB .

    Dataset text AI-MO AoPS. Quoted with source.

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