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.

  • 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.

  • 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?