1. Let n be a positive integer. In triangle ABC,AB=3n,AC=2n+15,BC=n+30, and ∠A>∠B>∠C. How many possible values of n are there?
2. Triangle ABC has altitudes ¯AD,¯BE, and ¯CF If AD=12,BE=14, and CF is a positive integer, then find the largest possible value of CF.