Marinada '22

[lang=hr] Neka je $p$ pravac i neka su $A$, $B$, $C$ točke koje leže na $p$ tako da je $|AB| = 7$ i $|BC| = 5$. Neka je $q$ pravac kroz $A$ okomit na $p$. Neka je $Q$ točka na $q$. Nađi minimalnu vrijednost $|QB| + |QC|$. [/lang] [lang=en] Let p be a line and $A$,$B$,$C$ points which lie on p such that points $A$,$B$,$C$ form line segments: $|AB| = 7$ and $|BC| = 5$. Let line $q$, which is perpendicular to $p$ go through $A$. Let $Q$ be some point on $q$. Find the minimal value of $|QB| + |QC|$. [/lang]