This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}. It is recommended to name the SVG file “Pythagorean Theorem Proof.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

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

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

Therefore -

${\displaystyle \ \left(a+b\right)^{2}=c^{2}+2ab\iff a^{2}+2ab+b^{2}=c^{2}+2ab\iff a^{2}+b^{2}=c^{2}}$

I, the copyright holder of this work, hereby publish it under the following licenses:

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

	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

This file is licensed under the Creative Commons Attribution 2.5 Generic license.

You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

https://creativecommons.org/licenses/by/2.5CC BY 2.5 Creative Commons Attribution 2.5 truetrue

You may select the license of your choice.