# 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?

Jan 14, 2017

$23$

#### Explanation:

Let the lengths of the three sides be $x - 2 , x \mathmr{and} x + 2$, respectively.

Given the perimeter $= 63$,
$\implies \left(x - 2\right) + x + \left(x + 2\right) = 63$
$\implies 3 x = 63$
$\implies x = 21$

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