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October 29th, 2008, 07:34 PM  #1 
Newbie Joined: Jul 2008 From: Barnaul, Russia Posts: 18 Thanks: 0  How did Pythagoras theorem come about?
The subject sais it all. Pythagoras theorem I believe is one of the most fundamental geometric relationships. From that we get a lot of other useful formulae like (sinx)^2 + (cosx)^2 = 1 which in turn appears to be very handy in deriving most trig identities! Why does pythagoras theorem work? I am aware HOW it works, but why does it work and how did one come up with it? Accidental discovery or a logical pursuit? Please help on that.

October 29th, 2008, 07:39 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,590 Thanks: 936 Math Focus: Elementary mathematics and beyond  Re: How did Pythagoras theorem come about? 
October 29th, 2008, 07:46 PM  #3  
Newbie Joined: Jul 2008 From: Barnaul, Russia Posts: 18 Thanks: 0  Re: How did Pythagoras theorem come about? Quote:
 
October 31st, 2008, 08:04 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 18,034 Thanks: 1393 
In the diagram for the proof using similar triangles, note that Since these triangles are similar, their areas are proportional to the squares of their longest sides. Dividing by the proportionality constant gives Pythagoras's theorem.


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