Question

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

Answer 1

Hello,

You have lost a sign "+".

`(n^2-1)^2+(2n)^2\\ =n^4-2n^2+1-4n^2\\ =n^4+2n^2+1\\ =(n^2+1)^2`

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