## Elementary Algebra

Let X represent the shortest side. The lon­gest side is 1 centimeter longer than twice the shortest side, which equals 1 + 2X. The other side is 2 centimeters shorter than the longest side. It equals 1 + 2X - 2 = 2X - 1. The perimeter of a triangle is equal to the sum of all its sides. The perimeter of a triangle is 40 centimeters, so we can set up the following equation: X + 1 + 2X + 2X - 1 = 40 5X = 40 Divide both sides by 5. X = 8 The shortest side equals 8. The lon­gest side is 1 + 2 $\times$ 8 = 1 + 16 = 17. The other side is 2 $\times$ 8- 1 = 15.