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Pythagorean Triples Calculator

Choose a maximum hypotenuse and list primitive integer triples a²+b²=c² generated locally.

—Primitive triples found
#abcCheck

Primitive triples, geometry & CSV

Filter Euclid-generated triples, compare perimeter and triangle area, and export the result set for further work.

—Rows generated
—Primitive triples
—Largest c
abcPrimitivePerimeterArea

Formula and interpretation

Integer triples satisfy a² + b² = c².

Generated triples are exact integer relationships, not general triangle-fit certification.

Worked check

The classic 3–4–5 triple is a quick exact check because 3² + 4² = 9 + 16 = 25 = 5². A generated integer triple proves that relation; it does not mean every triangle with roughly similar rounded measurements is exactly right-angled.

Rule: Integer triples satisfy a² + b² = c². Generated triples are exact integer relationships, not general triangle-fit certification. For a final check, estimate the expected size of the answer before copying it, keep units consistent, and round only the displayed result rather than intermediate values. Re-enter one simple case by hand when possible; a result with the wrong sign or order of magnitude usually points to an input or reference-base mistake.

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