The area of an equilateral triangle is √3. What is the perimeter of the triangle?

Q. The area of an equilateral triangle is √3. What is the perimeter of the triangle?

(A) 2   

(B) 4   

(C) 6   

(D) 8

Ans: 6

Sol:

Let the side of an equilateral triangle is ‘a’.

The area of an equilateral triangle of side ‘a’ is given by

In the question, it is given that the area is √3

⇒ a = 2

The perimeter of an equilateral triangle = 3a = 6