32
QuizMultiple Choice

Solving Quadratic Equations: Quadratic Formula — Cumulative exam

Question 32 • FL-1200700-Mathematics for College Algebra MIS

Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

Answer
A
x(x + 7) = 13
B
x(x + 7) = 169
C
x2 + (x + 7)2 = 13
D
x2 + (x + 7)2 = 169

Explanation

Let the shorter leg be x feet, so the longer leg is x + 7 feet. By the Pythagorean theorem, the sum of the squares of the legs equals the square of the hypotenuse: x² + (x + 7)² = 13² = 169. This matches choice D.

AI-written and checked against the verified answer.

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