Is (5, 7, 74−−√)

a Pythagorean triple

No, (5, 7, 74−−√) is not a Pythagorean triple because it does not satisfy the Pythagorean theorem. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. However, in this case, 5^2 + 7^2 ≠ (74−−√)^2.