Answer
The shortest side is 13 yards
The longest side is 26 yards
The third side is 15 yards
Work Step by Step
Let X represent the shortest side.
The longest side is twice the shortest side, which equals 2X.
The third side is 2 longer than the shortest side, which equals 2 + X.
The perimeter of a triangle is equal to the sum of all its sides.
Since the perimeter of the triangle is 54, we can set up the following equation:
X + 2X + 2 + X = 54
4X + 2 = 54
Subtract 2 from both sides.
4X = 52
Divide both sides by 4.
X = 13
The shortest side is 13
The longest side is 2 $\times$ 13 = 26.
The third side is 2 + 13 = 15.
