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For this piece of work I am investigating Pythagoras. Pythagoras was a Greek mathematician.
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BEYOND PYTHAGORAS Introduction For this piece of work I am investigating Pythagoras. Pythagoras was a Greek mathematician. Pythagoras lived on the island of Samos and was born around 569BC. He did not write anything but he is regarded as one of the world's most important characters in maths. His most famous theorem is named after him and is called the Pythagoras Theorem. It is basically a²+b²=c². This is what the coursework is based on. I am going to look at the patterns, which surround this theorem and look at the different sequences that can be formed. The coursework The numbers 3, 4 and 5 satisfy the condition 3²+4²=5² because 3²=3x3=9 4²=4x4=16 5²=5x5=25 And so 3²+4²=9+16=25=5² I will now check that the following sets of numbers also satisfy the similar condition of (smallest number) ²+(middle number) ²=(largest number) ² a) 5, 12, 13 5²=5x5=25 12²=12x12=144 25+144=169 V169 = 13 This satisfies the condition as 5²+12²=25+144=169=13² b) 7, 24, 25 7²=7x7=49 24²=24x24=576 49+576=625 V625=25 This satisfies the condition as 7²+24²=49+576=625=25² The numbers 3,4...
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