MetaMath '22

Neka su $a$, $b$, $c$ duljine stranica trokuta. Dokažite nejednakost: \begin{equation*} \frac{1}{b+c-a} + \frac{1}{c+a-b} + \frac{1}{a+b-c} \geq \frac{1}{a} + \frac{1}{b} + \frac{1}{c}\text. \end{equation*}