What is the best way to prove that the midpoints of BC,DE,FA are the vertices of an equilateral triangle given that ABCDEF is a hexagon inscribed in a circle with centre at O if angle AOB = angle COD = angle EOF = π/3
I could able to prove this by the help of Argand diagram using complex numbers keeping the centre of the circle at the origin but the simplification is much complicated. Is there any better approach for this purpose?
2026-04-05 15:21:45.1775402505
Identifying an equilateral triangle in a hexagon.
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