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MA=MB+MC, equilateral ABC inscribed, scent of a classic

Source: Polish MO Finals 1955 p3

August 29, 2024
geometryEquilateral

Problem Statement

An equilateral triangle ABC ABC is inscribed in a circle; prove that if M M is any point of the circle, then one of the distances MA MA , MB MB , MC MC is equal to the sum of the other two.
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