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ABC$ is isosceles or right when <CAM +<MCB = 90^o, M midpoint of ABC

Source: 1997 Argentina OMA L3 p2

June 11, 2020
geometryright triangleisoscelesanglesmidpoint

Problem Statement

Let ABCABC be a triangle and MM be the midpoint of ABAB. If it is known that ∠CAM+∠MCB=90o\angle CAM + \angle MCB = 90^o, show that triangle ABCABC is isosceles or right.
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