MathDB
MMO 063 Moscow MO 1940 AD + BD = DC in an inscribed equilateral

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July 18, 2019
Equilateralarcgeometry

Problem Statement

Points A,B,CA, B, C are vertices of an equilateral triangle inscribed in a circle. Point DD lies on the shorter arc \overarc {AB} . Prove that AD+BD=DCAD + BD = DC.