January 7th, 2009, 04:33 AM  #1 
Newbie Joined: Jan 2009 Posts: 1 Thanks: 0  pythagorean theorem
can anyone give me an example of Pythagorean theorem? My teacher said that the proof must be like this format " C2=A2 +B2 " (that 2 is squared) i hope some one help. thanks 
January 7th, 2009, 12:14 PM  #2 
Senior Member Joined: Dec 2008 Posts: 251 Thanks: 0  Re: pythagorean theorem
I'll give you a hint: the theorem can be proven by placing the triangle inside a square.

January 7th, 2009, 03:46 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,835 Thanks: 2162 
The triangle ABC with a rightangle at C comprises two smaller, but similar, triangles separated by the altitude drawn from C to AB. The areas of similar triangles are proportional to the squares of corresponding sides, so kc^2 = ka^2 + kb^2, where k is the proportionality constant, which is nonzero, and AB = c, AC = b, and BC = a. Hence c^2 = a^2 + b^2.


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