...distance between speakers for best sound stage and stereo imaging...
There's something else you have to consider in order to achieve your goal; and that is the distance of your ears from, or in relation to the distance between the speakers.
I prefer to spread my speakers as far apart as possible and sit slightly closer, rather than the equilateral triangle. In my current room, that translates into 9 feet apart with my ears back eight feet.
The more space between the speakers the better, especially when they are at least 4' away from the front wall. If the room is big enough, I'll pull them much further out into the room, 10' or even 12' - it makes a big difference. The more breathing room they have, the more they open up.
Side walls have to be considered as well. I prefer to have my speakers at least 3' away from the nearest side wall. Too close to the walls and you lose that openness.
If you have a vaulted ceiling that can be a good thing, depending on the room.