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Which of the following sets does not represent a Pythagorean triplet?

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8, 6, and 10

15, 36, and 39

12, 15, and 17

3, 4, and 5

answer is D.

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Detailed Solution

A. $10^{2} = 8^{2} + 6^{2}$ [8, 6, 10 is a Pythagorean triplet]

B. $5^{2} = 3^{2} + 4^{2}$ [3, 4, 5 is a Pythagorean triplet]

C. $39^{2} = 15^{2} + 36^{2}$ [15, 36, 39 is a Pythagorean triplet]

D. $17^{2} \neq 12^{2} + 15^{2}$ [15, 12, 17 is not a Pythagorean triplet]

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