Question

if area of a triangle is doubled to its area then what is the percentage increased in the area of triangle

Answer 1

Let a,b,c be the sides of the triangle.

Perimeter 2s = a + b + c
Semi-perimeter, s = 

Using Heron's formula:

Area of the triangle A = 

Now, if the sides are doubled: 2a, 2b, 2c

Let s' be the semi-perimeter.

2s' = 2a + 2b + 2c

s' = a + b + c

or s' = 2s

Area of the triangle, A' = 

A' = 

A' = 

A' = 

A' = 4A

Percentage increase = 

= 

=  

= 300%


I hope it helps!

Answer 2

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