Find the area of an equilateral triangle with a side of 6 inches?

Solution:

The area of an equilateral triangle is the amount of space that an equilateral triangle covers in a 2-dimensional plane. An equilateral triangle is a triangle with all sides equal and all its angles measuring 60°.

Area of equilateral triangle ΔABC = (√3/4) × a² square units

Where a is the side of the triangle.

It is given that

Side of the equilateral triangle = 6 inches

Substituting it in the formula

Area of equilateral triangle ΔABC = (√3/4) × 6²

= (√3/4) × 36

= 9√3 inches²

Therefore, the area of an equilateral triangle is 9√3 inches².

Find the area of an equilateral triangle with a side of 6 inches?

Summary:

The area of an equilateral triangle with a side of 6 inches is 9√3 inches².