Question

If the area of an equilateral triangle is 24√3 m²,then its perimeter is​

Answer 1

Answer:

We have, the area of an equilateral triangle as 24√3 m²

Therefore, √3a²/4 = 24√3

or a = √96

or a = 4√6 m

Therefore, its perimeter = 3 × 4√6 m

= 12√6 m Ans

Answer 2

Answer:

12√6

Step-by-step explanation:

Given,

ar ( equilateral triangle ) = 24√3 m²

To find : Perimeter ( equilateral triangle ) = ?

Formula : -

ar ( equilateral triangle ) = √3 a² / 4

√3 a² / 4 = 24√3

Divide √3 on both sides,

a² / 4 = 24

a² = 24 × 4

a² = 96

a = √96

a = 4√6

Formula : -

Perimeter ( equilateral triangle ) = 3a

Perimeter ( equilateral triangle )

= 3 ( 4√6 )

= 12√6