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# 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) × a^{2} 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) × 6^{2}

= (√3/4) × 36

= 9√3 inches^{2}

Therefore, the area of an equilateral triangle is 9√3 inches^{2}.

## 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 inches^{2}.

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