Question

if the area of an equilateral triangle is 16√3 cm^2, find the perimeter of the triangle.​

Answer 1

Answer:

24 cm

Step-by-step explanation:

area of equilateral triangle is = _/3 a^2 / 4

according to question

_/3 a^2 /4 = 16_/3

=> a^2 = 16 × 4

=> a^2 = 64

=> a = 8 cm

peimeter of the triangle =3a

= 3×8

= 24 cm

Answer 2

Answer:

24 cm

Step-by-step explanation:

Let the side of triangle be a

The area is given by √3/4a²

=16 √3

= a² = 4 × 16

=a² = 64

___________________________

As we all know that is ² goes on R.H.S it becomes√

___________________________

So, a = √64As we know that 64 is the square of 8

___________________________

So it gives a = 8

According to the question :The perimeter is given as 3=3(8)=24cm= 24 cm

Hope it helps you :-)