Pythagoras' theorem

There are 108 NRICH Mathematical resources connected to Pythagoras' theorem
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.
All is Number
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All is Number

Read all about Pythagoras' mathematical discoveries in this article written for students.
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?
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.
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.
Pythagorean Triples II
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Pythagorean Triples II

This is the second article on right-angled triangles whose edge lengths are whole numbers.
Pythagorean Triples I
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Pythagorean Triples I

The first of two articles on Pythagorean Triples which asks how many right angled triangles can you find with the lengths of each side exactly a whole number measurement. Try it!