1. The sides of a triangle, in centimetres, are given by 3n-4, 3n+9, 4n+5. Draw a diagram to show the information. If the perimeter of the triangle is 114 cm, find the length of each side.

Answer 1

well, the perimeter is the sum of the sides, so

3n-4 + 3n+9 + 4n+5 = 114
10n = 104

Now it's easy to find n, and then figure the actual side lengths.