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Intro I will be investigating Pythagoras triples using the Pythagoras theorem. A triple is a set of 3 whole numbers where the rule is a2 + b2 = c2. I will be working out the values of the sides of the triangle. The shortest side of the triangle will be represented by the letter 'a', the second longest side will be represented by the letter 'b', and the longest side, the hypotenuse, will be represented by the letter 'c'. Odds nth Length of shortest side (a) Length of middle side (b) Length of longest side (c) Perimeter (a+b+c) Area (a x b)/2 1 3 4 5 12 6 2 5 12 13 30 30 3 7 24 25 56 84 4 9 40 41 90 180 5 11 60 61 132 330 6 13 84 85 182 546 7 15 112 113 240 840 8 17 114 145 306 1224 To begin with, I will draw up a table containing the first eight Pythagorean triples with 'a' being an odd number, and shows the lengths of the sides, their perimeters and their areas. Then I will be able to see if there are any connections or relationships between the numbers, and I will be able to find...

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