equal segments connecting opposite sides of hexagon wanted, equilateral
Source: 2007 Oral Moscow Geometry Olympiad grades 10-11 p4
October 19, 2020
geometryhexagonequal segmentsEquilateral
Problem Statement
The midpoints of the opposite sides of the hexagon are connected by segments. It turned out that the points of pairwise intersection of these segments form an equilateral triangle. Prove that the drawn segments are equal.(M. Volchkevich)