Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

6-inch side.

A = sq. in.

3 answers

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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What is the area of a equlateral triangle with the measurement of 6-inch side?