MathDB
equilateral bye midpoints of 2 equal sides to radius, of cyclic hexagon

Source: Eotvos 1941 p3

September 10, 2024
geometryhexagonEquilateral

Problem Statement

The hexagon ABCDEFABCDEF is inscribed in a circle. The sides ABAB, CDCD and EFEF are all equal in length to the radius. Prove that the midpoints of the other three sides determine an equilateral triangle.