(Yet another) way to prove the Pythagoras’ theorem

01 July 2024, Version 4
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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. Here, I use some geometry, trigonometry and algebra to prove the theorem. There are few proofs using trigonometry.

Keywords

Euclidean geometry
Pythagoras' theorem
Trigonometry
Pythagoras

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