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In a right triangle, one leg is 9 and the hypotenuse is 15. What is the length of the other leg?

GRE · 2023 · quant slot 2
Question:
In a right triangle, one leg is 9 and the hypotenuse is 15. What is the length of the other leg?

Options

(A) 6
(B) 9
(C) 12
(D) 15
(E) 18
Answer: (C) 12

Explanation:
Using the Pythagorean theorem: a² + b² = c². So 9² + b² = 15², giving 81 + b² = 225, thus b² = 144, and b = 12.

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