Question

Let a, b, and c be positive real numbers. Prove that sqrt(a^2 - ab + b^2) + sqrt(a^2 - ac + c^2) is greater or equal to sqrt(b^2 + bc + c^2). Under what conditions does equality occur? That is, for what values of a, b, and c are the two sides equal?

This looks like a geometry / inequality problem but since it is in the trig section of my class I know this must be something related with trig. However, I can't seem to even start finding out how to begin. Help please? Should I treat it as a algebraic equation or use geometry?
Thanks!

Answer 1

Actually I solved it, but thanks :P