Question

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.

Answer 1

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