Check whether the following numbers form a Pythagorean triplet.
$8, 15, 17$

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Solution

Let $B = 8, C = 15$ be the smaller numbers and $A = 17$ be the larger number in the Pythagorean triplet.

$\begin{matrix} B y u s i n g p y t h a g o r u s t h e r o r e m A s w e k n o w \Rightarrow B^{2} + C^{2} = A^{2} \Rightarrow 8^{2} + 15^{2} = A^{2} \Rightarrow \sqrt{64 + 225} = A \Rightarrow \sqrt{289} = A A = 17 u n i t = G i v e n v a l u e o f A H e n c e, 8, 15 a n d 17 a r e p y t h a g o r e a n t r i p l e t . \end{matrix}$

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Which of the following is a Pythagorean triplet?
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