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May 19th, 2014, 08:18 AM   #1
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Pythagorean theorem

Hello!
I have a homework for tomorrow. The question is: What are the consequences of the Pythagorean theorem??
On Wikipedia, they mixed the consequences and the uses of the theorem in one paragraph:

5.1 Pythagorean triples
5.2 Incommensurable lengths
5.3 Complex numbers
5.4 Euclidean distance in various coordinate systems
5.5 Pythagorean trigonometric identity
5.6 Relation to the cross product


I assume that the first two are the consequences, and the rest are the uses of the theorem, but I want to be 100% sure.
Any help?
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May 19th, 2014, 08:46 AM   #2
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Personally, I would say that 5.3 and 5.4 are uses because they are definitions, while the rest are consequences because they are derived from the theorem.
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