Find the third member of the Pythagorean triple $(5, 12, ?)$.

Find the third member of the Pythagorean triple $(5, 12, ?)$.
  1. $13$
  2. $11$
  3. $17$
  4. $14$

Solution

$5^{2} + 12^{2} = 25 + 144 = 169 = 13^{2}$.

Asked in: IMO

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