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January 7th, 2009, 04:33 AM   #1
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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
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January 7th, 2009, 12:14 PM   #2
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Re: pythagorean theorem

I'll give you a hint: the theorem can be proven by placing the triangle inside a square.
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January 7th, 2009, 03:46 PM   #3
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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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