8
QuizMultiple Choice

Solving Equations — Unit test

Question 8 • FL-1200330-Algebra 2 Sem 1 - Flex

An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

Answer
A
9.25 cm
B
9.7 cm
C
12.75 cm
D
18.5 cm

Explanation

Let each of the two equal sides be x cm. Then the third side is 2x − 7, so the perimeter gives 2x + (2x − 7) = 44. Solving gives x = 12.75, and the third side is 2(12.75) − 7 = 18.5 cm, choice D.

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