Question 43
Points $A$, $B$, $C$, $D$ are chosen in the plane such that segments $AB$, $BC$, $CD$, $DA$ have lengths $2$, $7$, $5$, $12$, respectively. Let $m$ be the minimum possible value of the length of segment $AC$ and let $M$ be the maximum possible value of the length of segment $AC$. What is the ordered pair $(m, M)$?