if the area of an equilateral triangle is 81√3 .find its perimeter
The area of an equilateral triangle is81√3=√3x2/ 4
Side of the equilateral triangle = x
Perimeter of the equilateral triangle = x + x + x = 3x
√3x2/ 4=81√3
√3x2=81√3 * 4
√3x2= 324√3
x2=324√3 /√3
x2=324
x =√324
x = 18
Perimeter of the equilateral triangle = 3x
= 3 * 18 = 34