# Pythagorean triple

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## Pythagorean triple

[pə‚thag·ə¦rē·ən ′trip·əl]
(mathematics)
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We propose an elegant solution by adding two Pythagorean triples to obtain a new Pythagorean triple.
Consequently, those dates received some points, but not as many as dates in which the three numbers form a Pythagorean triple, which only happens 50 times a century.
A Pythagorean triple is a set of three integers which occur as the side lengths of a right-angled triangle.
Keywords The Smarandache function, Pythagorean triple, equation, positive integer solutions.
As for a Pythagorean triple (x, y, z) satisfying the relation [x.
Did you know, too, that if you take any Pythagorean triple, such as 3, 4, 5 or 5, 12, 13, and multiply the three numbers, the result is always a multiple of 60?
A Pythagorean triple is a set of three whole numbers, a, b, and c, such that a[super]2 + b[super]2 = C[super]2.
Note that a triple (a,b,c), of natural numbers is called a Pythagorean triple if [a.
Trial and error with the Pythagorean triple {3,4,5} soon establishes that x = 32 and y = 24.
However, when a, b, c are all integers and obey equation (1), they are referred to as a Pythagorean triple [a, b, c].
In the 1940s, Otto E Neugebauer and Abraham J Sachs, mathematics historians, pointed out that the other three columns were essentially Pythagorean triples " sets of integers, or whole numbers, that satisfy the equation a2 + b2 = c2.
The tree of primitive Pythagorean triples is no different (Figure 1).

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