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  "body": "\n## Definition\n\nA Pythagorean triple is a triple $(a, b, c)$ of positive integers such that $a^2 + b^2 = c^2$.\nThe triple is primitive if $\\gcd(a, b, c) = 1$, with $\\gcd$ the [[greatest common divisor|02WF878BH1]].\n\n## Remarks\n\nThe smallest examples are $(3, 4, 5)$ and $(5, 12, 13)$.\nIf $(a, b, c)$ is a Pythagorean triple, then so is $(ka, kb, kc)$ for each positive integer $k$.\nThe [[classification of Pythagorean triples|0KF3J2KAER]] lists all of them.\nIn a primitive triple, $a$, $b$ and $c$ are pairwise coprime, and exactly one of $a$ and $b$ is even.\n\n## Explanations\n\n### L1 human\n\nA Pythagorean triple gives a right triangle whose three sides are whole numbers.\nThe triangle with sides $3$, $4$ and $5$ is the best-known example, since $9 + 16 = 25$.\n",
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