# Equilateral Triangle: Area

How to find the area of an equilateral triangle: formula, 1 example, and its solution.

## Formula

A = [√3/4]⋅a^{2}

A: Height of an equilateral triangle

a: Side of an equilateral triangle

## ExampleSide: 6, A = ?

Solution

Solution (Detail)

The given triangle is an equilateral triangle.

Its side is 6.

Then A = [√3/4]⋅6^{2}.

6^{2} = 36

Cancel the numerator 4

and reduce 36 to, 36/4, 9.

So the area is

A = 9√3.