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In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. | ![]() |
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![]() Raphael, Computer enhanced detail from The School of Athens 1510, Fresco Stanza della Segnatuza, Vatican, Rome. | The figures (on the right) illustrate one of the most ancient proofs of Pythagoras' theorem using "sand reckoning" technique. Manipulating in sand the impressions made by the right-angled trinagle result in patterns which provide a geometrical model used by Pythagoras to make his theorem. |
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