Pythagorean triple
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 called primitive if its three members have no common divisors, so that they are relatively prime. All of the above triples are primitive. Integral multiples of the above triples will also satisfy , but they will not form primitive triples. For example, any three numbers in the form of 
, such as 
, will also satisfy it.
