Are there primitive triples that cannot be obtained through this - Figure it out - Page 50

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Question 3 Are there primitive triples that cannot be obtained through this method? If yes, give examples.Yes, there are. The method on this page strictly produces triples where the hypotenuse is exactly 𝟏 unit larger than one of the legs (because they are 𝑛 and 𝑛−1 ). However, there are primitive triples which don’t follow this logic Example: Some examples are (8, 15, 17), (20, 99, 101), (120, 209, 241) Thus, not all primitive triples can be generated by this method

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