Chapter 3 - Equations and Problem Solving - 3.5 - Problem Solving - Problem Set 3.5 - Page 130: 10

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.

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