Solve the problem.
-The perimeter of a triangle is 65 centimeters. Find the lengths of its sides, if the longest side is 7 centimeterslonger than the shorter side, and the remaining side is 4 centimeters longer than the shorter side.
A)18 cm, 22 cm, 25 cm
B)16 cm, 20 cm, 29 cm
C)20 cm, 22 cm, 23 cm
D)17 cm, 20 cm, 28 cm

Question

Quizplus · Accepted Answer

Let the length of the shortest side be x cm. Then, the longest side is x + 7 cm, and the remaining side is x + 4 cm. The perimeter is the sum of the sides: x + (x + 7) + (x + 4) = 65. Simplifying, 3x + 11 = 65, so 3x = 54, and x = 18 cm. Therefore, the sides are 18 cm, 18 + 4 = 22 cm, and 18 + 7 = 25 cm.

Solve the Problem. -The Perimeter of a Triangle Is 65 Centimeters. Find the Centimeters