# The three sides of a triangle are z+9, z+1, and z+2. If the perimeter of the triangle is 48, what is the value of z?

Nov 3, 2016

$z = 12$

#### Explanation:

to get the perimeter of something you have to add all the sides of the figure

if $P = 48$
then you add all the sides together and set it equal to 48 cause that is the perimeter
$\left(z + 9\right) + \left(z + 1\right) + \left(z + 2\right) = 48$
$3 z + 12 = 48$
$3 z = 36$
$z = 12$