Look at this picture, I have to fill the empty vertices.
The shape the face I have to fill is triangle. I can't keep edge loops after adding triangle faces, is there a way to avoid using triangle in this situation and keep edge loops work?
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Something like this can split triangle into quads, just cut it with Knife tool K. But geometry will become densier in this place.
P.S. Also, I want to mention that if you are doubting how to subdivide something to quads - use Subsurf Modifier set to Simple mode (Simple - because we need to keep original curvature without smoothing). This is easy and absolutely non-destructive way to see how it can be done. So, add modifier and set viewport shading to wireframe Z and don't forget to enable Draw all edges in object settings.