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Beyond Pythagoras Introduction: During this investigation I will be trying to find out patterns and formulas relating to pythagorus' theorem. One pattern he found with triangles was that the smallest and middle length sides squared added together to make the largest side squared. For example: 3 + 4 = 5 because 3 = 3 x 3 = 9 4 = 4 x 4 = 16 5 = 5 x 5 = 25 so 3 + 4 = 9 + 16 = 25 = 5 (smallest number) + (middle number) = (largest number) Another name for this is Pythagorean triples: a + b = c I will continue with this investigation to find as many rules and formulas as possible, to see if this is a one off, or if it only occurs in certain triangles. Further into my investigation I will also look at triangles that don't fit into the...

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