Triple Falls is a 125-foot waterfall located in the DuPont State Forest, southeast of Brevard, North Carolina. Triple Falls flows on the Little River through the DuPont State Forest in Transylvania County. It is one of 4 major waterfalls on the Little River in this area, the others being High Falls, Hooker Falls, and Bridal Veil Falls. Triple Falls has 3 distinct, differen…Triple Falls is a 125-foot waterfall located in the DuPont State Forest, southeast of Brevard, North Carolina. Triple Falls flows on the Little River through the DuPont State Forest in Transylvania County. It is one of 4 major waterfalls on the Little River in this area, the others being High Falls, Hooker Falls, and Bridal Veil Falls. Triple Falls has 3 distinct, different types of waterfalls.