Median AD in any triangle ABC

 
 
Prove that in any triangle   ABC,   where   AD   is a median and   |AD| = m

4 \, m^2 \; = \; b^2 \; + \; c^2 \; + \; 2 \, b \, c \, \cos \, A

 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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