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Pythagorean triple

   Also found in: Wikipedia 0.01 sec.
Pythagorean triple [pə‚thag·ə¦rē·ən ′trip·əl]
(mathematics)


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Trial and error with the Pythagorean triple {3,4,5} soon establishes that x = 32 and y = 24.
That content includes divisibility in the natural numbers, linear equations through the ages, the prime numbers, thinking cyclically, Fermat and Euler, cryptography, polynomial congruence, quadratic reciprocity, Pythagorean triples, sums of squares, Fermat's last theorem, diophantine approximations and Pell equations, primality testing, and mathematical induction.
The whole numbers a, b, and c are a Pythagorean triple if a and b are the lengths of two sides of a right triangle with hypotenuse c, so a2 + b2 = c2.
 
 
 
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