Answer
The first side is 12 cm.
The second side is = 21 cm.
The third side is = 25 cm.
Work Step by Step
Let X represent the first side.
The second side is 3 shorter than twice the first side, which equals 2X - 3.
The third side is 4 meters longer than the second side. Since the second side is 2X - 3, the third side is 4 + 2X - 3 = 1 + 2X.
The perimeter of a triangle is equal to the sum of all its sides.
Since the perimeter of the triangle is 58, we can set up the following equation:
X + 2X - 3 + 2X + 1 = 58
5X -2 = 58
Add 2 to both sides.
5X = 60
Divide both sides by 5.
X = 12
The first side is 12.
The second side is 2 $\times$ 12 - 3 = 21.
The third side is 1 + 2 $\times$ 12 = 25.
