Marinada '25

[lang=hr] U trokutu $ABC$ točka $I$ je središte upisane kružnice. Duljine dužina $\overline{AI}, \overline{BI}, \overline{CI}$ su redom $12$, $14$, $16$. Koliki je opseg trokuta? Rezultat zaokružite na tri decimale (poslije decimalne točke). [/lang] [lang=en] In triangle $ABC$ the point $I$ is the incenter. The lengths of the segments $\overline{AI}, \overline{BI}, \overline{CI}$ are respectively $12$, $14$, $16$. What is the perimeter of the triangle? Round the result to three decimal places (after the decimal point). [/lang]