ASU 431 All Soviet Union MO 1986 distances in a dodecagon
Source:
August 6, 2019
dodecagondistanceSumgeometrycombinatorial geometry
Problem Statement
Given two points inside a convex dodecagon (twelve sides) situated cm far from each other. Prove that the difference between the sum of distances, from the point to all the vertices, is less than m for those points.