MathDB
Putnam 1967 B1

Source: Putnam 1967

May 14, 2022
Putnamgeometryeuclidean geometryhexagon

Problem Statement

Let ABCDEFABCDEF be a hexagon inscribed in a circle of radius r.r. Show that if AB=CD=EF=r,AB=CD=EF=r, then the midpoints of BC,DEBC, DE and FAFA are the vertices of an equilateral triangle.
Back to ProblemsView on AoPS