Question

The lengths of the sides of triangle RST are consecutive odd integers. The perimeter of the triangle is 63 meters. What is the length of the longest side?

Answer 1

`23`

Explanation:

Let the lengths of the three sides be `x-2, x and x+2`, respectively.

Given the perimeter `=63`,
`=> (x-2)+x+(x+2)=63`
`=> 3x=63`
`=> x=21`

Hence, longest side `=x+2=21+2=23`