An isosceles triangle has two sides of equal length. The length of the third side is 2 ft less than twice the length of an equal side. Find the length of the third side when the perimeter is 26 ft.
A) 10 ft
B) 18 ft
C) 15 ft
D) 25 ft
E) 12 ft

Question

Quizplus · Accepted Answer

Let the length of each equal side be x. Then the third side is 2x - 2. The perimeter is x + x + (2x - 2) = 26. Solving for x gives x = 7. Therefore, the third side is 2(7) - 2 = 12 ft.

An Isosceles Triangle Has Two Sides of Equal Length