Math, asked by Anonymous, 6 months ago

28.Find the perimeter of the equilateral triangle whose area is given below *
16√3 cm²

Answers

Answered by joelpaulabraham
3

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

Answered by Anonymous
0

Answer:

refer the image.........................................

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