Question

If the perimeter of an equilateral triangle is 60cm then find its area ?

Answer 1

Heya !! ☺

Perimeter of an equilateral ∆ = 60 cm
=> 3a = 60 , where a = side of ∆
=> a = 60/3
=> a = 20 cm

Area of an equilateral ∆ = √3a²/4
=> √3×(20)²/4
=> √3×400/4
=> 100√3 cm²

Answer 2

Heya friend,
Here's your answer:

Given that
Perimeter of the equilateral triangle = 60 cm.
As in this type of triangle, all sides are equal. Let the length of the side be x.

So x + x + x = 60
=> 3x = 60
Therefore the length of the side is 20 cm.

As Area of Equilateral triangle = (√3 × x²)/4
=> A = (√3 × 20 ×20)/4
=> A = (√3 × 5 × 20)
Therefore the area of the equilateral triangle having 60 cm perimeter is 100√3 (cm)².

Hope my answer helps you.