Given is a right triangle with side lengths a, b, and c. The Pythagorean triple (9,12,15) represents the side lengths of the given right triangle. Find the value of c.

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In a right triangle, the side lengths are typically denoted as \(a\), \(b\), and \(c\), where \(c\) is the length of the hypotenuse (the longest side). In the Pythagorean triple (9, 12, 15), the side lengths are given as 9 and 12 for the legs, and 15 for the hypotenuse.

Thus, the value of \(c\) is:

\[ c = 15 \]

Therefore, the value of \(c\) is 15.

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