Trying to find out more sets which satisfy the condition of; (smallest number)ƒU+ (middle number)ƒU= (largest number)ƒU.

... I started of by trying to find out more sets which satisfy the condition of; (smallest number)?+ (middle number)?= (largest number)?. These numbers satisfy the condition 5, 12, 13 where 5?+12? = 25+144 = 169 = 13?. 7, 24, 25 where 7?+24? = 49+576 = 625 = 25? By looking at the numbers, I noticed that there was only a difference of one unit 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)?. Therefore, I know that there is a connection between the numbers written above. It is obviously not: (Middle number)? + (largest number)? = (smallest number)? As, 122 + 132 = 144+169 = 313 52 = 25 313 - 25 = 288 which is far too big, this means that the equation I want has nothing to do with 3 sides squared. I will now try two sides squared. (Middle)? + Largest

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