MathDB
min sum of distances from a point to vertices and edges of regular hexagon

Source: 2008 Cuba MO 1.2

August 27, 2024
geometrygeometric inequalityhexagon

Problem Statement

Let HH a regular hexagon and let PP a point in the plane of HH. Let V(P)V(P) the sum of the distances from PP to the vertices of HH and let L(P)L(P) the sum of the distances from PP to the edges of HH.
a) Find all points PP so that L(P)L(P) is minimun b) Find all points PP so that V(P)V(P) is minimun
Back to ProblemsView on AoPS