Question

PLEASE HELP!

Answer 1

Answer:

$36\sqrt{3}$

Step-by-step 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 $\frac{a\sqrt{3}}{2}$.

$\frac{12\sqrt{3} }{2} = 6\sqrt{3}$.

So the height is $6\sqrt{3}$.

Now we have to solve 12 * $6\sqrt{3}$ ÷ 2.

$12 \cdot 6\sqrt{3} = 72\sqrt{3}$

$72\sqrt{3}\: \div\: 2 = 36\sqrt{3}$.

Thus, the area of the triangle is $\boxed{36\sqrt{3}}$.

Hope this helps!