Q. 14

If every side of a triangle is doubled, then increase in the area of the triangle is
A. 100 %

B. 200%

C. 300%

D. 400%

Answer :

Let the sides of triangle are a, b, c


When a, b and c are the sides of triangle and s is the semi-perimeter, then its area is given by:


A = where [Heron’s Formula]



A’ = where [Heron’s Formula]


When each side of triangle is doubled


= = 2


A’ =


A’ = = 4= 4A


Increase in area = 4A-A = 3A


Percentage increase in area = = = 300%

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