Equilateral Triangle: Area

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

Formula

Formula

A = [√3/4]⋅a2

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

Example

Example

Solution

The given triangle is an equilateral triangle.
Its side is 6.

Then A = [√3/4]⋅62.

62 = 36

Cancel the numerator 4
and reduce 36 to, 36/4, 9.

So the area is
A = 9√3.