Question 28
Let $a$, $b$ and $c$ be the sides of a triangle. Prove the inequality
$$
\sqrt{a+b-c} + \sqrt{c+a-b} + \sqrt{b+c-a} \leq \sqrt{a} + \sqrt{b} + \sqrt{c}
$$
When does the equal sign apply?
$$
\sqrt{a+b-c} + \sqrt{c+a-b} + \sqrt{b+c-a} \leq \sqrt{a} + \sqrt{b} + \sqrt{c}
$$
When does the equal sign apply?