Question

The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter
correct to 2 decimal places.​

Answer 1

Answer:

The area of equilateral triangle is numerically equal to its perimeter, then its perimeter correct to 2 decimal places is 20.78 units.

Step-by-step explanation:

Area of an equilateral triangle with length of side a= √3/4a²

Perimeter of the triangle = sum of all sides =a+a+a=3a

Given, area of the equilateral triangle = Perimeter

Perimeter √3a/4= 3a

= a= 3*4/√3

a= 4* √3

perimeter 3a = 3 * 4 * √3 =12√3

=12×1.732=20.784 units