MathDB
2018 preRMO p7 distances from consecutive vertices of regular hexagon

Source:

August 8, 2019
geometryhexagondistancecircumradius

Problem Statement

A point PP in the interior of a regular hexagon is at distances 8,8,168,8,16 units from three consecutive vertices of the hexagon, respectively. If rr is radius of the circumscribed circle of the hexagon, what is the integer closest to rr?