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locus, <MAC + <CMB = 90^o (V Soros Olympiad 1998-99 Round 2 10.5)

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May 25, 2024
geometryLocus

Problem Statement

An isosceles triangle ABCABC (AB=BCAB = BC) is given on the plane. Find the locus of points MM of the plane such that ABCMABCM is a convex quadrilateral and ∠MAC+∠CMB=90o\angle MAC + \angle CMB = 90^o.
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