MathDB
Inscribable Hexagon

Source: Tournament of Towns Spring 2017 Junior A-level

January 30, 2018
geometry

Problem Statement

All the sides of the convex hexagon ABCDEFABCDEF are equal. In addition, AD=BE=CFAD = BE = CF. Prove that a circle can be inscribed into this hexagon.
(Boyan Obukhov)