2006-08-07 23:56:13 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The Pythagorean theorem, expressed as a relation between the quadrances of the sides of a right triangle, is one of the five basic laws of the rational trigonometry system devised in the early 2000s by Dr. Norman Wildberger.
There are many classical proofs of Pythagoras's theorem; this one is framed in the terms of rational trigonometry.
The spread of an angle is the square of its sine. Given the triangle ABC with a spread of 1 between sides AB and AC,
Q(AB) + Q(AC) = Q(BC)\,
where Q is the "quadrance", i.e. the square of the distance.
The list of Proofs are in the link:
2006-08-08 00:36:16 · answer #1 · answered by Anonymous · 0⤊ 0⤋
There are 69 methods of proof outlined at http://www.cut-the-knot.org/pythagoras/index.shtml
2006-08-08 00:05:40 · answer #2 · answered by Louise 5 · 0⤊ 0⤋
The proof is in the pudding.
I thought Euclid did this ages ago?
2006-08-08 01:25:17 · answer #3 · answered by blind_chameleon 5 · 0⤊ 0⤋
There are a list of proofs here: http://en.wikipedia.org/wiki/Pythagorean_theorem
2006-08-08 00:00:49 · answer #4 · answered by gradient descent 2 · 0⤊ 0⤋
this website will prove it.
http://www.frontiernet.net/~imaging/pythagorean.html
2006-08-08 04:39:38 · answer #5 · answered by Sherman81 6 · 0⤊ 0⤋