Question

The perimeter of a triangle is 195mm. If the lengths of the sides are consecutive positive integers find the lengths of each side.

Answer 1

The lengths of the triangle are 64, 65 and 66. YOU'RE WELCOME :D

Answer 2

Let x represent the length of the smallest side. If the lengths are consecutive integers, then the next side would be x + 1, and the one after that would be one greater, x + 1 + 1 = x + 2. All three sides add up to the perimeter of the triangle, 195.

(x) + (x+1) + (x+2) = 195
x + x + 1 + x + 2 = 195
3x + 3 = 195
3x = 192
x = 64

The shortest side is 64mm, and the other two sides are 65mm and 66mm.