MathDB
(MB - MS)(NC - NS)<=0 2009 Romania District VII p2

Source:

August 16, 2024
geometrygeometric inequality

Problem Statement

Hiven an acute triangle ABCABC, consider the midpoints MM and NN of the sides ABAB and ACAC, respectively. If point SS is variable on side BCBC, prove that (MB−MS)(NC−NS)≤0(MB - MS)(NC - NS) \le 0
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