3

Part of 1955 Polish MO Finals

Problems(1)

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

Source: Polish MO Finals 1955 p3

An equilateral triangle

ABC

is inscribed in a circle; prove that if

M

is any point of the circle, then one of the distances

MA

MB

MC

is equal to the sum of the other two.

geometryEquilateral