Question

PLEASE HELP!

An equilateral triangle has a side of length 12 inches. What is the area of the triangle, in square inches? Express your answer in simplest radical form.

Answer 1

`36√(3)`

Explanation:

Hi!

Since an equilateral triangle means that every side is equal, our triangle will have 12 on all sides.

To find the height of an equilateral triangle we use
`(a√(3))/(2)`.

`(12√(3) )/(2) = 6√(3)`.

So the height is
`6√(3)`.

Now we have to solve 12 *
`6√(3)` ÷ 2.

`12 \cdot 6√(3) = 72√(3)`

`72√(3)\: /\: 2 = 36√(3)`.

Thus, the area of the triangle is
`\boxed{36√(3)}`.

Hope this helps!