MathDB
Polish tetrahedron

Source: Poland 2001

September 22, 2004
geometry3D geometrytetrahedronfunctiongeometry solved

Problem Statement

Given a regular tetrahedron ABCDABCD with edge length 11 and a point PP inside it. What is the maximum value of PA+PB+PC+PD\left|PA\right|+\left|PB\right|+\left|PC\right|+\left|PD\right|.