Question

the area of an equilateral triangle is
$4 \sqrt{3}$
then it's perimeter is ​

Answer 1

Question :-

The area of an equilateral triangle is

$4 \sqrt{3}$

then it's perimeter is :

Solution :-

Area of equilateral triangle = $4 \sqrt{3}$

$\frac{ \sqrt{3} }{4} \times {(side)}^{2} = 4 \sqrt{3} \\ {(side)}^{2} = 4 \times 4 \\ side = 4$

Peimeter = 3 × Side =》 3 × 4 =》 12

Answer :-

The side is of leangth 4 units .

And the perimeter is 12 units .

Answer 2

Given :

➤ Area of equilateral triangle = 4√3 unit²

To find :

➤ Perimeter of equilateral triangle.

Solution :

Let the side of equilateral triangle be 'a' unit.

⇾ Area of equilateral Δ = √3a²/4 unit²

Now atq,

➟ √3a²/4 = 4√3

➟ √3a² = 16√3

➟ a² = (16√3)/√3

➟ a² = 16

➟ a = √16

➟ a = 4 units.

∴ Side of equilateral Δ = 4 units.

________________________________

⇢ Perimeter of equilateral Δ = 3a units.

So atq,

⇢ Perimeter of equilateral Δ = 3 × 4

⇢ Perimeter of equilateral Δ = 12 units.

∴ Perimeter of equilateral triangle = 12 units.