Difference between revisions of "Pythagorean triple"
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Revision as of 01:54, 3 March 2007
A Pythagorean Triple is a triple of positive integers, 
such that 
. Pythagorean Triples arise in geometry, as the side-lengths of right triangles.
Common Pythagorean Triples
These are some common Pythagorean Triples:
(3, 4, 5)
(20, 21, 29)
(11, 60, 61)
(13, 84, 85)
(5, 12, 13)
(12, 35, 37)
(16, 63, 65)
(36, 77, 85)
(8, 15, 17)
(9, 40, 41)
(33, 56, 65)
(39, 80, 89)
(7, 24, 25)
(28, 45, 53)
(48, 55, 73)
(65, 72, 97)
Primitive Pythagorean Triples
A Pythagorean Triple is primitive if it has no common factors, so that they are relatively prime. All of the above are primitive. Multiples of the above triples will also satisfy ; for example, any three numbers in the form of 
, like 
, will also satisfy it.
