MathDB
0741

Source:

May 26, 2008
inequalitiesgeometrygeometric transformationreflectiontriangle inequality

Problem Statement

Let A,B,C,D,E A,B,C,D,E be five distinct points, such that no three of them lie on the same line. Prove that AB\plus{}BC\plus{}CA \plus{} DE < AD \plus{} AE \plus{} BD\plus{}BE \plus{} CD\plus{}CE .