# The length of the sides of a triangle can be represented as consecutive even integers. If the perimeter of the triangle is 54 cm, what are the lengths of the three sides?

Jun 4, 2016

16, 18, 20

#### Explanation:

Let $x$ be the length of the shortest side

$\implies x + 2$ is the length of the next shortest side

$\implies x + 4$ is the length of the longest side

$x + \left(x + 2\right) + \left(x + 4\right) = 54$

$\implies 3 x + 6 = 54$

$\implies x = 16$
$\implies x + 2 = 18$
$\implies x + 4 = 20$