If all the sides of a triangle are increased by 200 the area of the triangle will increase by ........

Quantitative Aptitude ( CCS) Mensuration 2D

If all the sides of a triangle are increased by 200%, the area of the triangle will increase by ?

400%

600%

800%

None of these

The Semi perimeter will be trippled.

Old s = (a+b+c)/2; New s = (3a+3b+3c)/2; = 3 (a+b+c)/2 = 3*s

Therefore New Area = sqrt {3s(3s-3a)(3s-3b)(3s-3c)};

So ratio of New to Old = 9/1. Hence Increase is 800 %.

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