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VMO 1982 Problem 3

    ABC is a triangle. A' is on the same side of BC as A, and A" is on the opposite side of BC. A'BC and A"BC are equilateral. B', B", C', C" are defined similarly. Show that area ABC + area A'B'C' = area A"B"C".

    Community text Kalva (prase.cz mirror). Quoted with source.

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