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For my piece of coursework I have been asked to investigate a series of Pythagorean triples.
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Sian Rafferty Pythagorean Triples. For my piece of coursework I have been asked to investigate a series of Pythagorean triples. I was given a sheet entitled Pythagorean Triples with various equations shown. Some of them were not finished. I was shown different methods to work it out. A pythagorean triangle is when the three sides are whole numbered. On the sheet I was given I was told to investigate further with the equations. I started by looking at family number one. The first family is 32+42=52 and the second family is 52+122= without an answer. Family 1 Family 2 Family 3 Family 4 Family 5 32+42=52 52+122= 72+ =252 92+ = + = Looking at family number one, two, three and four I can look at the first number in each family and try and predict what the first number in family five will be. The numbers 3, 5, 7, 9 are all odd numbers, they are all one number apart so using...
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