Question

Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.

Answer 1

15.59 in^2

Explanation:

The area of an equilateral triangle with side length "s" is given by ...

A = (√3)/4·s^2

Filling in your numbers, we have ...

A = (√3)/4·(6 in)^2 = 9√3 in^2

A ≈ 15.59 in^2

The area is about 15.59 square inches.