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ON AN INEQUALITY FOR THE MEDIANS OF A TRIANGLE

Keywords: triangle , median , inequality , Erd s-Mordell inequality

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Abstract:

In this paper, we give two new simpler proofs of a sharp inequality for the medians of a triangle. We also establish two new inequalities by using this sharp inequality. Some related conjectures checked by the computer are put forward, which include two conjectures related to the famous Erd s-Mordell inequality.

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