Ah, so you can't cut them in half.
If you sew them together by hand, you wouldn't need the triangles. You could sew it by machine without the triangles but then you would really, really have to love y-seams. ;-)
You could raw edge applique them to squares (just sew around the hex about 1/4' in from the edge with a small stitch), and then just sew the squares together. When washed the raw edges would unravel a bit, but that requires NO matching or y-seams.
(You could cut out the centers from the back of the square to cut down on the weight/bulk of the quilt, but I don't think it would be too heavy).