Question

The area of an equilateral triangle is 16√3 cm2, then the perimeter of the triangle is?

Answer 1

24 cm

Explanation:

The area (A) of an equilateral triangle is calculated as

A =
`(s^2√(3) )/(4)` ( s is the side length )

Here A = 16
`√(3)` , then equating gives

`(s^2√(3) )/(4)` = 16
`√(3)` ( multiply both sides by 4 to clear the fraction )

s²
`√(3)` = 64
`√(3)` ( divide both sides by
`√(3)` )

s² = 64 ( take square root of both sides )

s =
`√(64)` = 8

Thus

perimeter = 3 × 8 = 24 cm