Question

Find the percentage increase in the area of a triangle if its each side is doubled.

(a) 50%

(b) 100%

(c) 300%

(d) 150%

Answer 1

Correct option is (c) 300%

Semi-perimeter of the triangle, s = \(\frac{a + b+ c}2\)

Area of triangle = \(\sqrt{s(s -a)(s - b) (s -c)}\)

When each side is doubled, the new sides are 2a,2b,2c.