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Beyond Pythagoras  

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1a) The numbers 5,12,13 satisfy the condition a2 + b2 = c2 52 + 122 = 132 52 = 5 x 5 = 25 122 = 12 x 12 = 144 132 = 13 x 13 = 169 and so 52+ 122 = 25 + 144 = 169 = 132 b) The numbers 7, 24, 25 a2 + b2 = c2 72 + 242 = 25 because 72 = 7 x7 = 49 242 = 24 x 24 = 576 252 = 25 x 25 = 625 and so 72 + 242 = 49 + 576 = 625 = 25 2 The numbers above satisfy similar condition that is pythagors theorem. I have tested the numbers by putting them into the formula a2 + b2 = c2. This is means the numbers are a Pythagorean triple because they satisfy the condition a2 + b 2 = c2 2) Length of shortest side Length of middle side Length of longest side Perimeter Area 3 4 5 12 6 5 12 13 30 30 7 24 25 56 84 9 40 41 90 180 a) I found the...

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