
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
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: 7,822 Thanks: 1049 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: 19,178 Thanks: 1646 
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.


Tags 
pythagoras, theorem 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
PYTHAGORAS COORDINATES  stevembe  Algebra  10  September 23rd, 2013 08:25 AM 
Please help me with this Pythagoras Theorem Question  nadiva8685  Algebra  3  January 22nd, 2013 04:37 PM 
Solving Problems using Pythagoras' theorem  Doc  Algebra  3  November 24th, 2012 11:18 PM 
Magnitude of a Vector using Pythagoras' theorem  xine  Algebra  1  May 30th, 2012 07:52 AM 
Pythagoras 3D Theorem using co ordinates  .:iDot:.  Algebra  1  July 14th, 2010 05:15 PM 