Question

Find the area of an equilateral triangle if a side is 8 times the square root of 3

Answer 1

The area would be about 83.14.

You can find this by starting with the formula for the area of an equilateral triangle:

A =
`(√(3))/(4) S^(2)`

In this equation, A is the area and S is the side. So we'll just plug in the value.

A =
`(√(3))/(4) S^(2)`

A =
`(√(3))/(4) (8√(3))^(2)`

A =
`(√(3))/(4) 24`

A = 83.14