Solve the problem.
-A triangle has a perimeter of 60 inches. Its shortest side measures 12 inches shorter than its middle side, and its longest side measures 6 inches longer than its middle side. Find the lengths of the triangle's three sides.
A) 10 inches, 22 inches, 28 inches
B) 30 inches, 18 inches, 12 inches
C) 26 inches, 14 inches, 20 inches
D) 14 inches, 26 inches, 20 inches

Question

Quizplus · Accepted Answer

The perimeter of a triangle is the sum of its three sides. Let x be the length of the middle side. The shortest side is x - 12, and the longest side is x + 6. The perimeter is 60, so we have:x + (x - 12) + (x + 6) = 603x - 6 = 603x = 66x = 22Therefore, the lengths of the triangle's three sides are 22 - 12 = 10 inches, 22 inches, and 22 + 6 = 28 inches.

Solve the Problem. -A Triangle Has a Perimeter of 60 Inches. Its Shortest