Which of the following is a Pythagorean triple?

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Multiple Choice

Which of the following is a Pythagorean triple?

Explanation:
A Pythagorean triple is three positive integers a, b, c that could be the side lengths of a right triangle, satisfying a^2 + b^2 = c^2, with the two smaller numbers as the legs and the largest as the hypotenuse. For 3, 4, 5, we have 3^2 + 4^2 = 9 + 16 = 25, which equals 5^2, so these numbers fit the relation perfectly and form a Pythagorean triple. The other sets don’t work because squaring the two smaller numbers and adding them does not equal the square of the largest number: 2^2 + 3^2 = 13, not 4^2 = 16; 4^2 + 5^2 = 41, not 6^2 = 36; 5^2 + 7^2 = 74, not 9^2 = 81.

A Pythagorean triple is three positive integers a, b, c that could be the side lengths of a right triangle, satisfying a^2 + b^2 = c^2, with the two smaller numbers as the legs and the largest as the hypotenuse. For 3, 4, 5, we have 3^2 + 4^2 = 9 + 16 = 25, which equals 5^2, so these numbers fit the relation perfectly and form a Pythagorean triple. The other sets don’t work because squaring the two smaller numbers and adding them does not equal the square of the largest number: 2^2 + 3^2 = 13, not 4^2 = 16; 4^2 + 5^2 = 41, not 6^2 = 36; 5^2 + 7^2 = 74, not 9^2 = 81.

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