Undergrad Generalisation of Pythagoras theorem

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The discussion centers on the search for a generalized form of the Pythagorean theorem beyond its traditional proofs in flat space. The original poster expresses difficulty in finding valuable resources or derivations related to this generalization. They inquire about proofs and relevant links, specifically mentioning the Law of Cosines as a potential connection. Ultimately, the poster finds their answer independently. The conversation highlights the challenge of accessing comprehensive resources on advanced mathematical concepts.
mertcan
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hi everyone, I would like say that there are lots of proofs related to pythagoras theorem in a flat space, but When I searched it's general form I have not found something worthwhile. Besides, I also involved myself to have a nice proof of it, as a result I have not any valuable or very close equation, so Could you help me obtain it's proof, share some pdf files, links related to derivation?

Very thanks in advance...
 
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