0741
Source:
May 26, 2008
inequalitiesgeometrygeometric transformationreflectiontriangle inequality
Problem Statement
Let 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 .