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I have been given 3 tasks in this piece of work. These tasks are to help me find out/work out formulae for the patterns between the short, medium and long sides of Pythagorean triples.
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G.C.S.E Maths Coursework Winter '99 By Sheryar Majid Introduction I have been given 3 tasks in this piece of work. These tasks are to help me find out/work out formulae for the patterns between the short, medium and long sides of Pythagorean triples. The formulae I work out will be based on this: If I have the short side can I work out the middle and long side? And If I have the middle side can I work out the short and long side? And If I have the long side can I work out the short and middle side? From these 3 things I have to try and work out the relationships between the 3 sides and the area and perimeter of the Pythagorean triangle. An example of the 3 sides and the area and perimeter is this: Number of triangle (nth term) Length of Shortest Side Length of Middle Side Length of Longest Side Perimeter Area 1 3 4 5 12 6 2 5 12 13 30 30 3 7 24 25 56 84 From this graph we can already see that the...
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