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TOT 264 1990 Autumn O J2 equilateral and regular hexagon have cmoomon center

Source:

June 8, 2024
geometryEquilateralhexagon

Problem Statement

The vertices of an equilateral triangle lie on sides AB AB, CDCD and EFEF of a regular hexagon ABCDEFABCDEF. Prove that the triangle and the hexagon have a common centre.
(N Sedrakyan, Yerevan )