To determine if (5, 7, √74) is a Pythagorean triple, we check if the square of the largest number (√74) equals the sum of the squares of the other two numbers (5 and 7):
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Calculate \(5^2 + 7^2\): \[ 5^2 = 25 \] \[ 7^2 = 49 \] \[ 5^2 + 7^2 = 25 + 49 = 74 \]
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Calculate \((\sqrt{74})^2\): \[ (\sqrt{74})^2 = 74 \]
Now we compare the two results: \[ 5^2 + 7^2 = 74 \quad \text{and} \quad (\sqrt{74})^2 = 74 \]
Since both are equal, (5, 7, √74) satisfies the condition of a Pythagorean triple.
Therefore, the answer is 1 (for yes).