Općinsko natjecanje 2012 SŠ3 7
Dodao/la:
arhiva14. svibnja 2012. U trokutu
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, duljina stranice

je

, kosinus kuta pri vrhu

jednak je

, a duljina polumjera upisane kružnice iznosi

. Odredi duljine stranica
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i

tog trokuta.
%V0
U trokutu $ABC$, duljina stranice $\overline{BC}$ je $6$, kosinus kuta pri vrhu $B$ jednak je $\displaystyle \frac 45$, a duljina polumjera upisane kružnice iznosi $1$. Odredi duljine stranica $\overline{AB}$ i $\overline{AC}$ tog trokuta.
Izvor: Općinsko natjecanje iz matematike 2012