variables a, b, and c, are positive real numbers. Prove that:

sqrt(a^2-ab+b^2) + sqrt(a^2-ac+c^2) is greater than or equal to sqrt(b^2+bc+c^2)

Under what conditions does equality occur? That is, for what values are both sides of the inequality equal?

I would really appreciate it if I could get an explanation and not just an answer, thank you!

Guest May 5, 2021