MathDB
Triangle inequality

Source: JBMO Shortlist 2006

November 10, 2008
inequalitiestrigonometryinequalities proposed

Problem Statement

For an acute triangle ABC ABC prove the inequality: \sum_{cyclic} \frac{m_a^2}{\minus{}a^2\plus{}b^2\plus{}c^2}\ge \frac{9}{4} where ma,mb,mc m_a,m_b,m_c are lengths of corresponding medians.
Back to ProblemsView on AoPS