Pythagoras' theorem

There are 108 NRICH Mathematical resources connected to Pythagoras' theorem
Picturing Pythagorean Triples
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Picturing pythagorean triples

This article discusses how every Pythagorean triple (a, b, c) can be illustrated by a square and an L shape within another square. You are invited to find some triples for yourself.
Incircles Explained
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Incircles explained

This article is about triangles in which the lengths of the sides and the radii of the inscribed circles are all whole numbers.
About Pythagorean Golden Means
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About pythagorean golden means

What is the relationship between the arithmetic, geometric and harmonic means of two numbers, the sides of a right angled triangle and the Golden Ratio?
All is Number
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All is number

Read all about Pythagoras' mathematical discoveries in this article written for students.
The Dangerous Ratio
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The dangerous ratio

This article for pupils and teachers looks at a number that even the great mathematician, Pythagoras, found terrifying.
Pythagoras
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Pythagoras

Pythagoras of Samos was a Greek philosopher who lived from about 580 BC to about 500 BC. Find out about the important developments he made in mathematics, astronomy, and the theory of music.
Liethagoras' Theorem
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Liethagoras' theorem

Liethagoras, Pythagoras' cousin (!), was jealous of Pythagoras and came up with his own theorem. Read this article to find out why other mathematicians laughed at him.