Show that R / r > a / h in any triangle ABC
Source: Tournament of Towns Spring 2003 - Junior A-Level - Problem 2
June 14, 2011
trigonometryinequalitiesgeometrycircumcircletriangle inequalitygeometry unsolved
Problem Statement
Triangle is given. Prove that , where is the radius of the circumscribed circle, is the radius of the inscribed circle, is the length of the longest side, is the length of the shortest altitude.