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Beyond Pythagoras.
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| Submitted: Thu Oct 23 2003
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Beyond Pythagoras Pythagoras had a theory that on a right-angled triangle, the shortest side (A) squared +the middle side (B) squared = the largest side (C) squared. But only a few whole numbers worked in this formula. These are called Pythagoras' triplets. An example of Pythagoras' triplets is 3,4 and 5 So does it work with 5, 12 and 13 and/or 7, 24 and 25. So this shows that both 5, 12 and 13 and 7, 24and 25 are in fact Pythagoras' triplets. Our task however is to go beyond Pythagoras' theory and try and find formulas for every side of the triangle, as well as the perimeter and area, to do with 'n' (the shortest side). We started off doing odd numbers only. ...
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