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Proving the Pythagorean Theorem

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There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the question, calculations, and the solution.

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Solution Summary

This looks at two ways of proving the pythagorean theorem and provides links to many more.

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Nearly every way to prove the theorem is here:
http://www.cut-the-knot.org/pythagoras/index.shtml

For me, 3 and 4 are quite easy to understand, and the site has a very good description of the proof.

Start with 4 right triangles, each with sides a, b, c. Rotate one triangle 90 degrees, one 180 degrees, and one 270 degrees. They will then form a square with a hole in the middle. The area of each triangle is 1/2 b*h or ab/2. The length of each side of the little square ...

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