The perimeter of a triangle is 69 cm. The measure of the shortest side is 5 cm less than the middle side. The measure of the longest side is 5 cm less than the sum of the other two sides. Find the
Lengths of the sides.
A) 17 cm; 21 cm; 31 cm
B) 15 cm; 21 cm; 33 cm
C) 16 cm; 21 cm; 32 cm
D) 15 cm; 22 cm; 32 cm

Question

Quizplus · Accepted Answer

Let the middle side be x cm. Then, the shortest side is (x - 5) cm, and the longest side is (x + (x - 5) - 5) = (2x - 10) cm. The perimeter is the sum of the sides: x + (x - 5) + (2x - 10) = 69. Solving this equation gives x = 21 cm. Thus, the sides are 16 cm, 21 cm, and 32 cm.

The Perimeter of a Triangle Is 69 Cm