Discussion
Which of the following is not a Pythagorean triplet ?
Answer: C
11, 60, 63 is not a Pythagorean triplet.
A Pythagorean triplet satisfies \(a^{2} + b^{2} = c^{2}\) with c the largest number. Check each:
\[ \begin{aligned} 7^{2} + 24^{2} &= 49 + 576 = 625 = 25^{2} \\ 8^{2} + 15^{2} &= 64 + 225 = 289 = 17^{2} \\ 13^{2} + 84^{2} &= 169 + 7056 = 7225 = 85^{2} \\ 11^{2} + 60^{2} &= 121 + 3600 = 3721 \end{aligned} \]
3721 is \(61^{2}\), not \(63^{2} = 3969\). So 11, 60, 61 is a triplet, but 11, 60, 63 is not.
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