What is the area of the equilateral triangle? Round to the nearest square centimeter.

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Question

What is the area of the equilateral triangle? Round to the nearest square centimeter.

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calculusxy · Answer

Have you heard of special-right triangles?

mysticfury · Answer

no, this question is in a unit about the Pythagorean theorem

calculusxy · Answer

OK. So what do you know about the side lengths of equilateral triangles?

mysticfury · Answer

well i know all sides equal 8

calculusxy · Answer

Good! |dw:1459547235511:dw|

calculusxy · Answer

We can separate this triangle into two right triangles as it will be easier to figure out the height. Then we can use the Pythagorean Theorem to solve for h.

calculusxy · Answer

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It doesn't matter which triangle we work with. But I have left the bottom length blank. Can you tell me the bottom length after we separated the triangle into two right triangles?

calculusxy · Answer

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