Question

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?

Answer 1

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