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Geometric Inequality

Source: 239 2008 S5

July 28, 2020
geometric inequalityinequalities

Problem Statement

In the triangle ABCABC, ∠B=120∘\angle{B} = 120^{\circ}, point MM is the midpoint of side ACAC. On the sides ABAB and BCBC, the points KK and LL are chosen such that KL∥ACKL \parallel AC. Prove that MK+ML≥MAMK + ML \geq MA.
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