lengths of triangle medians

By the Apollonius theorem, in any triangle, the $m_{a}$ , $m_{b}$ , $m_{c}$ of the medians (http://planetmath.org/Median) of opposing the the sides $a$ , $b$ , $c$ , respectively,are

m_{a}=\\frac{1}{2}\\sqrt{2b^{2}+2c^{2}-a^{2}},

m_{b}=\\frac{1}{2}\\sqrt{2c^{2}+2a^{2}-b^{2}},

m_{c}=\\frac{1}{2}\\sqrt{2a^{2}+2b^{2}-c^{2}}.

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