5. find the area of an equilateral triangle with radius 8 m. leave your answer in simplest radical form.

The area of an equilateral triangle is .

Step-by-step explanation:

Given: The radius of an equilateral triangle is 8m.

To find: The area of an equilateral triangle.

Solution: It is given that the radius of an equilateral triangle is 8m.

Now, height of the triangle is given as:

Substituting the value of r, we have

The side of the triangle is given as:

Now, the area of an equilateral triangle is given as:

Therefore, the area of an equilateral triangle is .

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