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Proving CB = MN

Source: Spring 2006 Tournament of Towns Junior O-Level #1

April 15, 2015
geometryperpendicular bisector

Problem Statement

Let ∠A\angle A in a triangle ABCABC be 60∘60^\circ. Let point NN be the intersection of ACAC and perpendicular bisector to the side ABAB while point MM be the intersection of ABAB and perpendicular bisector to the side ACAC. Prove that CB=MNCB = MN.
(3 points)
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