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

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

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.