I just got a triumph as well. I purchased Leupold dual dovetail rings and bases (medium rings). I tried to mount two different scopes and both needed higher rings as they were touching the barrel. The scopes were a Bushnell 3200 4-12X40 and a tasco varmit 2.5-10X42. I got some high rings and they were fine. I believe if you plan on mounting a 3-9X40 scope you would be okay with medium rings on the Leupold dual dovetails. I will say there is not as much room above the hammer even with the high rings.