MathDB

1

Part of 2006 JBMO ShortLists

Problems(1)

Triangle inequality

Source: JBMO Shortlist 2006

11/10/2008
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.
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