11
QuizMultiple Choice

Solving Quadratic Equations by Factoring

Question 11 • [INMT3] Integrated Math 3 Sem 1 (26-27)

The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?

Answer
A
20 in.
B
26 in.
C
120 in.
D
138 in.

Explanation

Let the shorter leg be x inches, so the other leg is 2x + 8 inches. By the Pythagorean theorem, x² + (2x + 8)² = 52², which gives x = 20; the other leg is 48. The perimeter is 20 + 48 + 52 = 120 inches, so the correct choice is 120 in.

AI-written and checked against the verified answer.

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