So all of these opinions are based on my undergrad and my personal experience with societies like that.
I had to look Tri Beta up, actually. Apparently there is one at my undergrad. In my opinion, with a lot of the academic based societies, they serve as resume/ application filler/ clutter unless you're actually being an active member and participating in leadership. There's a lot of those at my undergrad, and most of them aren't actually that helpful. But I don't know your circumstances.
If your advisor told you to join, I'd probably seriously look into it, but imo Tri Beta for the most part won't make or break your application.