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.

Question

asked Feb 10, 2021 80.5k views

1 Answer

NickAth · Answer 1 · 2021-02-15T12:31:36+0000

Answer:

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!