$(7, 24, ?)$ is a Pythagorean triple. The third member is

$(7, 24, ?)$ is a Pythagorean triple. The third member is
  1. $25$
  2. $23$
  3. $24$
  4. $26$

Solution

$7^{2} + 24^{2} = 49 + 576 = 625 = 25^{2}$.

Asked in: IMO

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