Question

Find the perimeter of an equilateral triangle where area is 72cm. ​

Answer 1

38.68 cm

Explanation:

Perimeter of an equilateral triangle : P = 3a

Area of an equilateral triangle : A =
`(√(3) )/(4)a^2`

a = side length

The area is given, solve for a.

`72= (√(3) )/(4)a^2`

`a = 12.894839`

The side length is 12.894839 centimeters.

Find the perimeter.

P = 3a

P = 3(12.894839)

P = 38.684517 ≈ 38.68

The perimeter is 38.68 centimeters.