28.Find the perimeter of the equilateral triangle whose area is given below * 16√3 cm² Question 28.Find the perimeter of the equilateral triangle whose area is given below * 16√3 cm² in progress 0 Math Ariana 1 week 2021-09-10T12:20:00+00:00 2021-09-10T12:20:00+00:00 2 Answers 0 views 0

## Answers ( )

Answer:refer the image…………………………………..

Answer:Perimeter of the equilateral triangle = 24 cm

Step-by-step explanation:We know that,

Perimeter of an Equilateral triangle = 3a, because it has 3 equal sides.

Now, we are given,

Area = 16√3 cm²

We know that,

Area of equilateral triangle = (a²√3)/4

where a is the the side of the triangle

Thus,

(a²√3)/4 = 16√3

(a²√3)= 4 × (16√3)

a²√3 = 64√3

a² = (64√3)/√3

a² = 64

a = √64

a = 8 cm

Thus, the side of the Equilateral triangle = 8 cm

∴ Perimeter of the equilateral triangle = 3(8) = 24 cm

Hope it helped and you understood it……..All the best