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2015-05-29T22:16:19+05:30

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We apply the Pythagoras theorem...

   AC² = AB² + BC²
   5² = 3² + BC²             =>    BC = 4 

s = semi perimeter = (AB+BC+AC) /2 = 6

Area of triangle = √[ s (s - a) (s - b) (s - c) ]  = √ [ 6 * 3 * 2 * 1 ]  = 6
another formula :
       Area of  triangle = 1/2 * BM * AC  =  5/2  BM

   =>  BM = 12/5   

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