Area of an Equilateral Triangle

Area of an Equilateral Triangle

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

Formula

A = (sqrt[3]/4)*a^2. A: Area of an equilateral triangle, a: Side of an equilateral triangle.

A = (√3/4)⋅a2

A: Area of an equilateral triangle
a: Side of an equilateral triangle

Example

Find the area of the given triangle. The length of the equilateral triangle's side: 6.

The equilateral triangle's side is 6.

Then A = (√3/4)⋅62.

62 = 36

36/4 = 9

So A = 9√3.