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Beyond Pythagoras I am going to check if these sets of Pythagorean triple satisfy a2+b2=c2 with odd, even and prime numbers. 1. (3, 4, 5) 32+42=52 9+16=25 2. (5, 12, 13) 52+122=132 25+144=169 3. (7, 24, 25) 72+242=252 49+576=625 Predicted In this investigation I have used the Pythagorean triples because they satisfy the formula a2+b2=c2. I wrote them down and then I worked out the perimeter and the area. Shortest side I have noticed that the shortest side is always increases by 2. Shortest side sequence is by 2, so the rule would be 2n, but 2n doesn't satisfy the sequence because you need to add 1 to it. So new rule would be 2n+1. Middle side Middle side's sequence is a quadratic sequence because it has a second difference. The second difference is 4. So the rule is 2n2 because 2 is half of 4, but the rule 2n2 doesn't satisfy the results. If we look at the difference we can see that n...

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