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March 27, 2015

Homework Help: Math

Posted by Kevin on Wednesday, February 22, 2012 at 6:27am.

How to Generate Pythagorean Triples using an Odd Number
1. Start with an odd number, e.g. 3. Then the square of 3 can be expressed as the sum of two consecutive numbers, i.e. 32 = 9 = 4 + 5. Therefore the Pythagorean Triples are {3, 4, 5} since 32 + 42 = 52. Generate another set of Pythagorean Triples starting with the next odd number 5 and verify that it works.
2. Generate another set of Pythagorean Triples starting with the next odd number 7 and verify that it works.
3. Prove that this method will always work for any odd number except 1.

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