inequality of altitude
Source: INMO 2009 Problem 5
January 18, 2009
inequalitiesgeometrytrigonometrycircumcirclegeometric transformationreflectionrectangle
Problem Statement
Let be an acute angled triangle and let be its ortho centre. Let denote the largest altitude of the triangle . Prove that:AH \plus{} BH \plus{} CH\leq2h_{max}