The second side of a triangle is 4 centimeters longer than 5 times the first side. The third side is 5 centimeters longer than the second side. If the perimeter is 178 centimeters, find the length of each side of the triangle.
A) 94 centimeters, 79 centimeters and 84 centimeters
B) 15 centimeters, 79 centimeters and 84 centimeters
C) 15 centimeters, 79 centimeters and 99 centimeters
D) 15 centimeters, 163 centimeters and 84 centimeters

Question

Quizplus · Accepted Answer

The first side is x, the second side is 5x + 4, and the third side is (5x + 4) + 5 = 5x + 9. The perimeter is x + (5x + 4) + (5x + 9) = 178. Solving this equation gives x = 15, so the sides are 15 cm, 79 cm, and 84 cm.

The Second Side of a Triangle Is 4 Centimeters Longer