Solve the problem.
-One side of a triangle is twice as long as a second side. The third side of the triangle is 15 feet long. The perimeter of the triangle cannot be more than 30 feet. Find the longest possible values for the other two sides of the triangle.
A) 5 feet and 10 feet
B) 8 feet and 8 feet
C) 4 feet and 8 feet
D) 23 feet and 23 feet

Question

Quizplus · Accepted Answer

The perimeter of the triangle is the sum of its three sides. Let x be the length of the second side. Then, the first side is 2x, and the third side is 15 feet. The perimeter is x + 2x + 15 ≤ 30. Simplifying, 3x ≤ 15, so x ≤ 5. The second side is 5 feet, and the first side, being twice as long, is 10 feet.

Solve the Problem. -One Side of a Triangle Is Twice as Long as as Long