# A triangle has a perimeter of 50. If two of the side lengths are equal and the third side is five more than the equal sides, what is the length of the third side?

Apr 4, 2018

20

#### Explanation:

Let $x$ = the length of two of the sides (the ones that are equal)
Let $x + 5$ = the length of the third side
$x + x + x + 5 = 50$ add up all three sides
$3 x + 5 = 50$ combine
$3 x = 45$ subtract 5 from both sides
$x = 15$ divide by 3

The length of the third side = $x + 5$ = 20