joining midpoints of opposite sides of circumscribed hexagon
Source: Sharygin Geometry Olympiad 2017 First Round P21 grades 10-11
July 23, 2018
geometryconvexhexagonmaximummidpoint
Problem Statement
A convex hexagon is circumscribed about a circle of radius . Consider the three segments joining the midpoints of its opposite sides. Find the greatest real number such that the length of at least one segment is at least