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Generating Pythagorean Triples

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Using the below scenarios:
1. Build or generate at least five more Pythagorean Triples using one of the many formulas available online for doing this.
2. After building your triples, verify each of them in the Pythagorean Theorem equation

The numbers 3, 4, and 5 are called Pythagorean triples since 32+42=52. The numbers 5, 12, and 13 are also Pythagorean triples since 52+122=132. Can you find any other Pythagorean triples? Actually, there is a set of formulas that will generate an infinite number of Pythagorean triples. You can generate Pythagorean triples using the following expressions:
Pick two positive integers, m and n, with m less than n.
Then the three numbers that form the Pythagorean triple can be calculated from:

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This solution involves generating Pythagorean Triples.

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Given a positive integer n, the pythagorean triple could be generated as follows:
, ,
Then we give different values for m and get the ...

Solution provided by:
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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