What happens to the area of a triangle if the lengths of the sides doubled?

Let the sides of a triangle be a,b, and c, and let the height be
h.

Then We will assume that c is the base and h is the
height.

Then the area is given by :

A
1= (1/2) * c * h ...........(1)

Now when the sides doubles, the
sides are: 2a, 2b, 2c, and the height is 2h

==> Then the area
is given by :

A2 = (1/2)* 2c * 2h = 4*(1/2)*c *
h

But (1/2)*c*h= A1

==> A2 = 4*
A1

Then the area of the triangle is increased by a
factor of 4 if the sides are doubled.