Respuesta :

caylus
Hello,

8*√3 is the side.
The height is √((8√3)²-(4√3)²)=√(64*3-16*3)=12

Area of the triangle=8*√3*12/2=48√3≈83

The area of the given equilateral triangle is 83 m.

What is the area of the equilateral triangle?

The area of the equilateral triangle whose length of a side is 'a' units is

A = (√3 a²)/4

Calculation:

The given equilateral triangle has a side of length a = 8√3 m

So, its area = (√3 a²)/4

⇒ (√3 (8√3)²)/4

⇒ (√3 × 64 × 3)/4

⇒ 48√3

⇒ 83.13

∴ Area = 83 m.

Thus, the area of the given equilateral triangle is 83 m.

Learn more about the area of the equilateral triangle here:

https://brainly.com/question/2193139

#SPJ2

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