1. The problem statement, all variables and given/known data Let a,b and c be lengths of sides in a triangle, show that √(a+b-c)+√(a-b+c)+√(-a+b+c)≤√a+√b+√c 3. The attempt at a solution With Ravi-transformation the expressions can be written as √(2x)+√(2y)+√(2z)≤√(x+y)+√(y+z)+√(x+z). Im stuck with this inequality. Can´t find a way to use any known inequalities such as AM-GM or the rearrangement inequality.