Question

Find the area of an equilateral triangle (regular 3- gon ) with the glven measurement. 6-inch side. A= ____sq. in.

Answer 1

The area of an equilateral triangle (regular 3-gon) with a 6-inch side is approximately 15.588 square inches.

Step-by-step explanation:

To find the area of an equilateral triangle with a 6-inch side, we can use the formula for the area of a regular triangle, which is:

A = (sqrt(3) / 4) x side length2

For an equilateral triangle with a side of 6 inches, the calculation would be:

A = (sqrt(3) / 4) x 62
A = (sqrt(3) / 4) x 36
A = 9sqrt(3)
Therefore, the area of the triangle is 9sqrt(3) square inches, approximately 15.588 square inches.