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Beyond Pythagoras
Member rating: No Rating | Words: | Submitted: Mon Dec 11 2006
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GCSE Maths Course Work Beyond Pythagoras 1) Do both 5, 12, 13 and 7, 24, 25 satisfy a similar condition of : (Smallest number)² + (Middle Number)² = (Largest Number) ² ? 5, 12, 13 Smallest number 5² = 5 x 5 = 25 Middle Number 12² = 12 x 12 = 144+ 169 Largest Number 13² = 13 x 13 = 169 7, 24, 25 Smallest number 7² = 7 x 7 = 49 Middle Number 24² = 24 x 24 = 576+ 625 Largest Number 25² = 25 x 25 = 625 Yes, each set of numbers does satisfy the condition. They are both Pythagorean triples. 2) a) b) 3) From my data I can construct a table to make the identification of patterns easier. So far I have observed the following patterns: * The smallest side length advances by two each time. * All the middle numbers are even * The middle length is always a multiple of four. * The longest length is...
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