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alexandr1967 [171]
4 years ago
5

PLEASE HELP!

Mathematics
1 answer:
sesenic [268]4 years ago
4 0

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!

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