# What is the altitude of an equilateral triangle whose perimeter is 12?

Mar 8, 2016

Altitude of equilateral triangle $= 2 \sqrt{3}$

#### Explanation:

Perimeter of equilateral triangle $= 12$

Each side of triangle , $a = \frac{12}{\textcolor{b l u e}{3}} = 4$

Formula for altitude of equilateral triangle =color(purple)(sqrt3/2 * a.

$= \frac{\sqrt{3}}{2} \times 4$

$= \frac{\sqrt{3}}{\cancel{2}} \times \cancel{4}$

$= \sqrt{3} \cdot 2$

$= 2 \sqrt{3}$