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Pythagoras' Theorem: Elaboration on the Similarity Argument

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| http://www.cut-the-knot.org/pythagoras/PythagorasBySimilarity.shtml | |
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| Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny | |
| 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. | |
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| Levels: | High School (9-12), College |
| Languages: | English |
| Resource Types: | Articles, Web Interactive/Java |
| Math Topics: | Triangles and Other Polygons |
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