# The lengths of the sides of this triangle are 3 consecutive integers. If its perimeter is 42 what is the length of the longest side?

##### 1 Answer

Oct 23, 2016

15

#### Explanation:

Call x the shortest side.

The middle side: (x + 1)

The longest side: (x + 2)

Perimeter = x + (x + 1) + (x + 3) = 42

3x + 3 = 42

3x = 39

x = 13

Longest side: x + 2 = 13 + 2 = 15