Find the area of an equilateral triangle with side 12.

The area of an equilateral triangle is given by
[tex]A=\frac{\sqrt[]{3}}{4}a^2[/tex]where a is the side length of the triangle.
Now, for our case a = 12; therefore, the above formula gives
[tex]A=\frac{\sqrt[]{3}}{4}(12)^2[/tex][tex]A=36\sqrt[]{3}[/tex]In decimal form this is
[tex]A=62.3538\text{ square units.}[/tex]