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Find the area of an equilateral triangle (regular 3-gon) with the given measurement in terms with a radical. 6-inch side. A = sq. in.

Verified Answer :

Draw a straight line from the mid point of one side to the opposite vertex.

Use the Pythagorean Theorem to find the length of this line. Let b = this line (the height).

a^2 + b^2 = c^2
3^2 + b^2 = 6^2
9 + b^2 = 36
b^2 = 27
b = 5.2

Now use this formula to find the area of this triangle.

A = 1/2bh

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