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Beyond Pythagoras - Year 10 Maths Coursework
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Beyond Pythagoras - Year 10 Maths Coursework By Nadia House 10G The numbers 3, 4 and 5 satisfy the condition 3˛+4˛=5˛, Because 3˛= 3x3 =9 4˛= 4x4 =16 5˛= 5x5 =25 And so... 3˛+4˛ (=9+16) = 25 (=5˛) I now have to find out if the following sets of numbers satisfy a similar condition of: Smallest number˛ + Middle number˛ = Largest number˛ (S˛ + M = L˛) a) 5, 12, 13 5˛ + 12˛ = 13˛ ~ (25 + 144 = 169) b) 7, 24, 25 7˛+24˛ = 25˛ ~ (49 + 576 = 625) Here is a table containing the results: Short Side Middle Side Long Side 3 4 5 5 12 1 7 24 25 I looked at this 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˛ + Middle number˛ = Largest number˛. So I know that there will be a connection between the numbers written above. The only...
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