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Interactive Pythagoras




The diagram above was created by a Japanese site on the Internet (http://www.ies.co.jp/). Notice that the Japanese use a, b, and c in a DIFFERENT ORDER than the order we customarily use in the United States.

Explain why the Japanese formula is also correct.

According to the diagram, what geometry concept is represented by a2, b2, and c2? Explain how you know.

Use your rationale to this question and this Geometer's Sketchpad template to explain the Pythagorean Theorem.

If you do not have access to Geometer's Sketchpad, you can download a trial version. If your web browser is java-enabled, then view this java applet in a different window created by IES Manipula Math With Java.





 Extensions

Explain the Pythagorean Theorem by shearing and translating quadrilaterals in this java applet in a different window created by IES Manipula Math with Java.



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