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computational with trisection of median (2012 Kyiv City MO Round2 7.3)

Source:

August 3, 2020
geometrymedianequal segments

Problem Statement

In the triangle ABCABC the median BDBD is drawn, which is divided into three equal parts by the points EE and FF (BE=EF=FDBE = EF = FD). It is known that AD=AFAD = AF and AB=1AB = 1. Find the length of the segment CECE.
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