SOLUTION: Line BM and line CN are altitude of triangle ABC. If AB = 3.5cm, AC = 3.2cm and BM = 2.1cm, calculate the area of the triangle ABC and hence find CN.

Algebra ->  Triangles -> SOLUTION: Line BM and line CN are altitude of triangle ABC. If AB = 3.5cm, AC = 3.2cm and BM = 2.1cm, calculate the area of the triangle ABC and hence find CN.       Log On


   



Question 1134295: Line BM and line CN are altitude of triangle ABC. If AB = 3.5cm, AC = 3.2cm and BM = 2.1cm, calculate the area of the triangle ABC and hence find CN.
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
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The area of the triangle ABC = %281%2F2%29%2Aabs%28AC%29%2Aabs%28BM%29 = %281%2F2%29%2A3.2%2A2.1 = 3.36 cm^2.    ANSWER


The same area of the triangle ABC = %281%2F2%29%2Aabs%28AB%29%2Aabs%28CN%29,  which gives


    |CN| = 3.36%2F%28%281%2F2%29%2A3.5%29 = %282%2A3.36%29%2F3.5 = 1.92 cm.    ANSWER