MCQ
Write a pythagorean triplet whose one member is $17.$
  • A
    $17, 12, 13$
  • $8, 15, 17$
  • C
    $17, 24, 32$
  • D
    $16, 17, 34$

Answer

Correct option: B.
$8, 15, 17$
If we take $x^2 + 1 = 17$
So, $x^2 = 16$
$\Rightarrow$ $x = 4$
Therefore, $2x = 8$ and $x^2 - 1 = (4)^2 - 1 = 16 - 1 = 15$
Therefore, the required triplet is $8, 15$ and $17.$

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