Pythagoras' theorem

  • 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!

  • 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.

  • 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.