... + n² + n (2n + 1) + (2n (n+1)) + (2n² + (2n + 1) 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, therefore, 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 25 and 313 is 288 which is obviously far too large to be the number I am looking for. This means that the equation I want has nothing to do with 3 sides squared, and I can eliminate this from my list of sides to investigate. I will now try 2 sides squared. (Middle)² + ...

See this essay or coursework document in full right now