Answer
The shortest side is 24 ft
The longest side is 45 ft
The third side is 31 ft
Work Step by Step
Let X represent the shortest side.
The longest side is 3 feet less than twice the shortest side, which is equal to 2X - 3.
The third side is 7 feet longer than the shortest side, which is equal to X + 7.
The perimeter of a triangle is equal to the sum of all its sides.
Since the perimeter of the triangle is 100, we can set up the following equation:
X + 2X - 3 + X + 7 = 100
4X + 4 = 100
Subtract 4 from both sides.
4X = 96
Divide both sides by 4.
X = 24
The shortest side is 24.
The longest side is 2$\times$ 24 - 3 = 45.
The third side is 24 + 7 = 31.
