ABCDEF is a hexagon inscribed in a unit circle with AB = CD = EF = 1. Let X, Y, Z, be the midpoints of the other three sides (i.e., of BC, DE, and FA). Prove that XYZ is an equilateral triangle.

(In reply to Solution by Harry)

Harry,

I'm guessing but could the reference be to this?

http://www.cut-the-knot.org/triangle/Morley/index.shtml

Posted by broll on 2013-08-25 07:55:30