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centers of 3 equilaterals form an equilateral triangle.

Source: Polish MO second round 1958 p5

August 29, 2024
geometryEquilateralequilaterals

Problem Statement

Outside triangle ABC ABC equilateral triangles BMC BMC , CNA CNA , and APB APB are constructed. Prove that the centers S S , T T , U U of these triangles form an equilateral triangle.
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