Question 427658
The lengths of the sides of a triangle are consecutive integers. Half of the perimeter is 14 more than the length of the longest side. Find the perimeter.

                     ---------------------------

Let's x, x+1, and x + 2 are the "consecutive integer" sides of the triangle

Half of the perimeter is 14 more than the length of the longest side: 

P/2 = 14 + (x + 2)

P = 28 + 2(x + 2)

P = 28 + 2x + 4

P = 2x + 32

Have a great one! John10