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# If every side of a triangle is doubled, then increase in the area of the triangle is

## Text solution Verified

The area of a triangle having sides a, b, c and s as semi-perimeter is given by,
, where

We take the sides of a new triangle as 2a, 2b, 2c that is twice the sides of previous one
Now, the area of a triangle having sides 2a, 2b, and 2c and s1 as semi-perimeter is given by,

Where,

s1 = a + b + c
s1 = 2s
Now,

Therefore, increase in the area of the triangle
=A1 - A
=4A - A
=3 A Percentage increase in area

= 300 %

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