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Pythagorean theorem states that in a right triangle the sides are related to each other by the equation:
A Pythagorean triple is a set of integer
numbers that fulfills equation 1.
for example the set: a = 3, b = 4, c = 5.
One way to find the triple values is by using
the Euclid' s formula, this formula describes the side a, b and c with two variables m and n:
m and n are integers such that n > m.
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If n ⎯ m is odd, and m and n are coprime (can not be divided by a common factor) the
result of the Euclid' s formula yields all triples that are said to be primitive.
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Because the result of multiplying a,b and c by a common factor is also a Pythagorean
triple, the more complete equation is:
Where k is an integer k = 2, 3 …. and n ⎯ m is odd, and m and n are coprime.
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