Question

Find the area of an equilateral triangle with side 12.

Answer 1

The area of an equilateral triangle is given by

`A=\frac{\sqrt[]{3}}{4}a^2`

where a is the side length of the triangle.

Now, for our case a = 12; therefore, the above formula gives

`A=\frac{\sqrt[]{3}}{4}(12)^2`
`A=36\sqrt[]{3}`

In decimal form this is

`A=62.3538\text{ square units.}`