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Pythagoras' Theorem: Elaboration on the Similarity Argument

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Visit this site: http://www.cut-the-knot.org/pythagoras/PythagorasBySimilarity.shtml

Author:Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Description: Euclid included two proofs of the Pythagorean theorem in his Elements. A better known Proposition I.47 (Bride's chair) and VI.31 which is consistently overlooked in the introductory geometry courses. The latter, however, renders the theorem virtually trivial, a one-liner, based on a simple similarity argument. The article presents two variants of the proof and a dynamic illustration.

Levels: High School (9-12), College
Languages: English
Resource Types: Articles, Web Interactive/Java
Math Topics: Triangles and Other Polygons

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