Around a month ago I asked a question on ME here. It was well received (got seven up votes). Sadly nobody was able to help much. To get more attention I also placed a bounty on it. Still no luck. The question was, does there exist three different primitive Pythagorean triples such that,

$$\frac{Area_1}{c_1^2}+\frac{Area_2}{c_2^2}=\frac{Area_3}{c_3^2}$$

I personally don't believe this is possible and am trying to disprove it (but am also looking for a counter example). At this point I think it is fair to say the solution is not trivial. I am also confident that this is an open problem (in other words not solved/asked elsewhere) and it is theory based (not some calculation).

For these reasons I think this would fall under research if I cleaned it up a bit and posted some background. That background would include more work and some mathematical relationships that make this more interesting.

One thing that is holding me back is me. I'm not a research mathematician and I have little formal training in high level math. So I'm a little worried that won't be well received. So in conclusion,

- Is this question suitable for MO?
- Would I be discouraged from doing this based on my background?
- If I post this what can I do to make sure it is well received by others?
- Am I more likely to get help on this because people on MO are generally more knowledgeable than people on ME?

**Update:** Sorry for the delay I was putting together some new findings and wanted to get some computational support. For anybody interested I posted it here. I tried to follow as much of the advice given as possible but any suggestions are still appreciated. Thanks for all the help!