Pythagorean Triples Calculator

Your details

Verify checks three given integers. Generate produces a triple from Euclid's parameters m, n, and k.
First positive integer to check.
Second positive integer to check.
Third positive integer to check. If these form a triple, this is the hypotenuse.
Hypotenuse (c)Primitive Pythagorean triple
5

The longest side of the right triangle

Leg a3
Leg b4
Is a Pythagorean triple?Yes
Primitive triple?Yes
Scale factor1
Primitive form(3, 4, 5)
Triangle area6
Perimeter12

(3, 4, 5) is a valid primitive Pythagorean triple.

  • The three sides 3, 4, and 5 satisfy 3² + 4² = 5² (9 + 16 = 25).
  • This is a primitive triple: the three sides share no common factor, so it cannot be simplified further.
  • Triangle area: 6 square units. Perimeter: 12 units.

Next stepSwitch to Generate mode to explore related triples by varying m, n, and k with Euclid's formula.

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