Originally Posted by The Euphor
3 4 5
5 12 13
7 24 25
11 48 49
13 70 71
15 96 97
17 126 127
19 169 170
I even calculated everything without any help!
doesn't quite work - this is basically a series of values for the pythagorean theorem, a²+b²=c². 17 squared is 289, and 126 squared is 15876. Summed, these give us 16165, which definitely does NOT equal 127 squared, or 16129. Close, but not quite.
I almost posted something this morning, but honestly, it's been so long since I've done this stuff, that I have no idea how to solve it, lol. the upshot, I believe, is since you know a, you need to solve for b in terms of c, and then replace all instances of b with whatever it's equivalent in c is. From there, solve for C and then use the pythagorean theorem to give you your value for b.
I'll take a crack at it while cooking dinner, but my algebra is VERY rusty, lol.