Question

The lengths of a triangle are consecutive odd numbers The perimeter is 87 cm what is the length of the longest side

Answer 1

3 consecutive odd numbers....x, x + 2, x + 4

P = a + b + c
87 = x + x + 2 + x + 4
87 = 3x + 6
87 - 6 = 3x
81 = 3x
27 = x

x + 2 = 27 + 2 = 29
x + 4 = 27 + 4 = 31

ur 3 sides are 27,29,31...with 31 being the longest

Answer 2

x + (x+2) + (x+4) = 87

3x = 81 -> x = 27

So the longest will be 27 + 4 = 31