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תמונה:Pythagorean Theorem Proof.png - ויקיפדיה

תמונה:Pythagorean Theorem Proof.png

מתוך ויקיפדיה, האנציקלופדיה החופשית

אין גרסת רזולוציה גבוהה יותר .

Pythagorean_Theorem_Proof.png (227 × 229 פיקסלים, גודל קובץ: 1 קילו־בייטים, סוג MIME: image/png)

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[edit] Summary

A sketch of a proof to the Pythagorean Theorem drawn by me using MS-Paint.

The size of the bigger square is both \ \left(a+b\right)^2 (Because each of its sides' length is \ a+b) and \ c^2+2ab. (The size of the smaller square and the triangles)

Therefore -

\ \left(a+b\right)^2=c^2+2ab\iff a^2+2ab+b^2=c^2+2ab \iff a^2+b^2=c^2

[edit] Licensing

I, the author of this work, hereby publish it under the following licenses:
GNU head 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".

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