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Introduction

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Chapter 15: Theorem of Pythagoras

15.1 Introduction

The theorem of Pythagoras is a very important mathematical proof that relates the lengths of the sides of a right-angled triangle. Over the years, mathematicians have discovered many different ways to prove the theorem of Pythagoras.

A Pythagoras tree is made up of squares. Each group of squares (three touching squares that are a similar colour) enclose a right-angled triangle. Pythagoras trees were invented by a Dutch mathematician, Albert E. Bosman, and they are named after the ancient Greek mathematician, Pythagoras.
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Perfect squares and square roots