MathDB
MF: BK wanted, AK = AF, median related (2014 Kyiv City MO 8.5.1)

Source:

August 5, 2020
geometryratiomedianequal segments

Problem Statement

On the side ABAB of the triangle ABCABC mark the point KK. The segment CKCK intersects the median AMAM at the point FF. It is known that AK=AFAK = AF. Find the ratio MF:BKMF: BK.