hi. I'm not sure if this is a right topic but i have got problem with solving 2 inequalities:

(1) Numbers a,b,c are lengths of sides of a triangle, which square equals S, and let p,q,r be positive reals such that p+q+r=1. Prove that .

(2) Let a,b,c be positive reals, and n positive integer. Prove that .

It is possible that it came from previous olympics (if its true its unlikely to be IMO, because I have already checked some of recent exercises. Then If you remember any of it just let me know source