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Beyond Pythagoras 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 now have to find out if the following sets of numbers satisfy a similar condition of (smallest number) 2+ (middle number) 2= (largest number) 2. a) 5, 12, 13 52+122 = 25+144 = 169 = 132. b) 7, 24, 25 72+242 = 49+576 = 625 +252 Here is a table containing the results: I looked at the table and noticed that there was only a difference of 1 between the length of the middle side and the length of the longest side. I already know that the (smallest number) 2+ (middle number) 2= (largest number) 2. So I know that there will be a connection between the numbers written above. The problem is that it is obviously not: (Middle number) 2+ (largest number) 2= (smallest number) 2 Because, 122 + 132 = 144+169 = 313 52 = 25 The difference between...

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