What if you do this....start out making a HST but only sew 1 seam 1/4" away from the center diagonal line. Trim seam to 1/4". You now have 1 HST, 1 pink triangle and 1 green triangle. Take the pink triangle and sew it to the green side of the HST, like you'd do when making flying geese. Trim off waste triangles. You'd still have a diagonal strip of the pink and a green triangle but perhaps they can be incorporated somewhere else. ???
I suspect one of our seasoned quilters will share an easier, less wasteful method, but this is off the top of my head.
Karen