Geometry Geometry Math Forum

 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. Tags pythagorean, theorem Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Skyer New Users 11 August 1st, 2011 05:15 AM xnarutox Geometry 3 October 16th, 2010 08:53 AM johnny Geometry 10 September 20th, 2010 04:32 PM mohanned karkosh Geometry 1 October 22nd, 2007 05:13 AM johnny Calculus 2 September 17th, 2007 12:45 PM

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