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triangle ABC, # BCDE, BE//AM, BE=AM/2, midpoint (Greece Junior 2014)

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July 14, 2019
geometryparallelogrammidpoint

Problem Statement

Let ABCABC be a triangle and let MM be the midpoint BCBC. On the exterior of the triangle, consider the parallelogram BCDEBCDE such that BE//AMBE//AM and BE=AM/2BE=AM/2 . Prove that line EMEM passes through the midpoint of segment ADAD.
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