kadenandbrown5081 kadenandbrown5081

24-09-2017
Mathematics

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Prove that a triangle with sides n^2 1, n^2 - 1 and 2n (for n > 1) is a right triangle

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24-09-2017

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[tex](n^2-1)^2+(2n)^2\\ =n^4-2n^2+1-4n^2\\ =n^4+2n^2+1\\ =(n^2+1)^2 [/tex]

Theorem of Pythagore is verified in this case: the triangle is a right one

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