My Math Forum pythagorean theorem

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 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 right-angle 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 non-zero, and AB = c, AC = b, and BC = a. Hence c^2 = a^2 + b^2.

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