Answer:
[tex]36\sqrt{3}[/tex]
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 [tex]\frac{a\sqrt{3}}{2}[/tex].
[tex]\frac{12\sqrt{3} }{2} = 6\sqrt{3}[/tex].
So the height is [tex]6\sqrt{3}[/tex].
Now we have to solve 12 * [tex]6\sqrt{3}[/tex] ÷ 2.
[tex]12 \cdot 6\sqrt{3} = 72\sqrt{3}[/tex]
[tex]72\sqrt{3}\: \div\: 2 = 36\sqrt{3}[/tex].
Thus, the area of the triangle is [tex]\boxed{36\sqrt{3}}[/tex].
Hope this helps!
