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

Image 34

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

Image 35

⇒ a = 2

The perimeter of an equilateral triangle = 3a = 6

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