(Yet another) way to prove the Pythagoras’ theorem

29 May 2024, Version 2
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This article attempts a new way of proving the Pythagoras’ theorem. For centuries, people have used diverse tools such as combinatorics, calculus, geometry, algebra and trigonometry to come up with hundreds of different ways to prove the theorem. The contributors who have shown these new ways have been equally varied and diverse - ancient mathematicians, modern academic and recreational mathematicians (including Miss E A Coolidge, a blind girl), philosophers, high-school students, a former chief economist of the World Bank, and even a former president of the United States. Here, I use some geometry, trigonometry and algebra to prove the theorem. The reason why I even tried looking for one more way to prove it is probably best paraphrased by the character Lisa Simpson (from The Simpsons) - I guess the hunt was more fun than the catch.

Keywords

Euclidean geometry
Pythagoras' theorem
Trigonometry
Pythagoras

Comments

Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting and Discussion Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.