Explore the campus of North Central Missouri College, during your trip to Trenton. Amble around the area's parks or experience its museums.
Explore the great outdoors at Crowder State Park, a lovely green space in Trenton. While you're in the area, wander around the natural setting.
Though Wright Memorial Hospital might be what brings you to town, perhaps you'll have a chance to explore more of Trenton while you are here.