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Summary
Description |
English: A similarity proof for Pythagoras' theorem based upon areas proportional to sides on the center triangle. Area of triangle C = sum of areas of A and B. All three right triangles are similar, so all three areas are proportional to the side bordering the centre triangle. Hence, α(a2 + b2) = α c2, or dividing by α, we have Pythagoras' theorem.
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Date |
28 May 2010 |
Source |
Own work |
Author |
Brews ohare |
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
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