Pythagoras' theorem via equilateral triangles

TL;DR

This paper presents a novel proof of Pythagoras' theorem that avoids traditional methods like squares and similarity, offering a new perspective on this fundamental geometric principle.

Contribution

The paper introduces a new proof of Pythagoras' theorem using equilateral triangles, bypassing common geometric tools.

Findings

Provides a novel geometric proof of Pythagoras' theorem

Eliminates the need for squares or similarity in the proof

Offers an alternative approach to understanding the theorem

Abstract

We give a proof of Pythagoras' theorem which does not use neither squares nor similarity of triangles.