Question 102
Prove: If $x$, $y$, $z$ are the lengths of the bisectors of a triangle with circumference $6$, then the following applies
$$
\frac{1}{x^{2}}+\frac{1}{y^{2}}+\frac{1}{z^{2}} \geq 1
$$
$$
\frac{1}{x^{2}}+\frac{1}{y^{2}}+\frac{1}{z^{2}} \geq 1
$$