Question

13.
7. The area of an equilateral triangle is
144root3cm^2 ; find its perimeter.

{Area of an equilateral triangle
root3/4cm^2*
(side)2 and its perimeter = 3 x side
4}
8)The area of an equilateral triangle is numeri-
cally equal to its perimeter. Find its perimeter
correct to 2 decimal places.

Answer 1

Answer:

Area of an equilateral triangle with length of side a=

4

3

a

2

Given, area of the equilateral triangle =144

3

cm

2

Thus

4

3

a

2

=144

3

cm

2

→a

2

=144×4

a=24cm

Now, the perimeter of the triangle = Sum of all sides =a+a+a=3a=3×24=72cm