SOLUTION: What would be the area of an equilateral triangle with a side length of 4 in simplest radical form?

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Question 542332: What would be the area of an equilateral triangle with a side length of 4 in simplest radical form?
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

The formula for the area of an equilateral triangle is:

A=%28sqrt%283%29%2F4%29%2Al%5E2

In this case, our l (length of any side) is 4. So we have:

A=%28sqrt%283%29%2F4%29%2A4%5E2

A=%28sqrt%283%29%2F4%29%2A16

A=4%2Asqrt%283%29 which should be the simplified answer.

Another way to solve this problem would be to cut the equilateral triangle into two right triangles.

Then you could calculate the height of the triangle using Pythagorean's Theorem.

After finding the height of the triangle, you could use the standard triangle area forumula:

A=%281%2F2%29%2Ab%2Ah

I hope this helps!