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Math's Coursework: Pythagoras triples. I am investigating the relationship of the sides in a Pythagoras triple. I will hopefully be able to find formulas for each side, and the perimeter and Area. To do this I must first discover the associations each side of a Pythagorean triples have (the shortest, middle and longest side.) A Pythagorean triples are basically the sides of a right-angle triangle according to Pythagoras. The formula is: a + b= c Length of Shortest side ( a ) Length of middle side ( b ) Length of longest side ( c ) Perimeter Area 3 4 5 12 6 5 12 13 30 30 7 24 25 56 84 This is a table of the sides, perimeter and area of the first three Pythagorean triples. Judging by the table I can recognize a few of relationships between the numbers: * The shortest and longest sides are odd numbers. * The value of the middle side is the longest side's value -1. * The lengths of the shortest sides are 2 more...

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