Q. 14

# If every side of a triangle is doubled, then increase in the area of the triangle isA. 100 %B. 200%C. 300%D. 400%

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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