Question

Find the area of equilateral triangle

Answer 1

3·1/2·4^2·SIN(1/3·360°) = 20.78

Answer 2

Answer: The required area of the given equilateral triangle is 20.78 ft².

Step-by-step explanation: We are given to find the area of the equilateral triangle shown in the figure.

We know that the area of an equilateral triangle having radius of circumscribed circle equal to r units is given by

`A=(3\sqrt3)/(4)r^2.`

For the given equilateral triangle, we have

r = 4 ft.

Therefore, the area of the given equilateral triangle is

`A=(3\sqrt3)/(4)* 4^2=12\sqrt3=20.78.`

Thus, the required area of the given equilateral triangle is 20.78 ft².