Question

The length of a triangle are consecutive odd integers. The perimeter is 87cm. What is the length of the longest side

Answer 1

The integers will be 2n + 1, 2n + 3 and 2n + 5 where n >= 0 , so

2n + 2n + 2n + 1 + 3 + 5 = 87

6n = 78

n = 13

so the 3 lengths are 27, 29 and 31

So length of the longest side = 31 cms answer