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To find the hypotenuse \(c\) of a right triangle with legs \(a = 9\) and \(b = 12\), we use the Pythagorean theorem:
A = \frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 12 = 54
Thus, the length of the hypotenuse is \(\boxed{15}\) and the area is \(\boxed{54}\).

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