Question: Problem 23. In class we observed the following conjecture: Conjecture 1. In every PPT e will be add and eractly one of a, b is

 Problem 23. In class we observed the following conjecture: Conjecture 1.

Problem 23. In class we observed the following conjecture: Conjecture 1. In every PPT e will be add and eractly one of a, b is even and the other is odd. By considering all the different possible cases for these terms being even or odd (this is usually called their parity), prove Conjecture 1

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To prove Conjecture 1 we need to demonstrate that in every Pythagorean Triple PPT the hypotenuse c c is odd and exactly one of the other two numbers a ... View full answer

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