Is there anything that would not need mowing to "fill in" the sharp corners with, instead of grass? Like forage Brassicas?
I guess it would have to be something that out-competes weeds even if horses crop the forage but not the weeds. Probably there is no such thing.
A tractor sounds big and unwieldy. Even on a small suburban lawn, I hated spending time turning, when what I wanted to do was "always be cutting"!
Would it be practical to use the tractor to shred/mow 90% or 95% of the triangle? Like, mow a spiral pattern (very rounded corners, whatever the turning radius of the tractor is) with the corners left un-mowed, then go back and cut the acute angles with a weed-wacker or hand mower?
Or would 5-10% of the pasture still be too big to cut by hand?