To identify another example of a Pythagorean triple, we need to check which of the given sets of numbers satisfy the equation \( a^2 + b^2 = c^2 \), where \( c \) is the largest number.
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(10, 12, 13): \[ 10^2 + 12^2 = 100 + 144 = 244 \quad \text{and} \quad 13^2 = 169 \quad \text{(not a Pythagorean triple)} \]
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(15, 25, 39): \[ 15^2 + 25^2 = 225 + 625 = 850 \quad \text{and} \quad 39^2 = 1521 \quad \text{(not a Pythagorean triple)} \]
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(50, 120, 130): \[ 50^2 + 120^2 = 2500 + 14400 = 16900 \quad \text{and} \quad 130^2 = 16900 \quad \text{(is a Pythagorean triple)} \]
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(25, 60, 39): \[ 25^2 + 60^2 = 625 + 3600 = 4225 \quad \text{and} \quad 39^2 = 1521 \quad \text{(not a Pythagorean triple)} \]
From the evaluations, the only example of a Pythagorean triple from the given options is (50, 120, 130).