Trokut
![ABC](/media/m/a/c/7/ac75dca5ddb22ad70f492e2e0a153f95.png)
ima duljine stranica
![3](/media/m/b/8/2/b82f544df38f2ea97fa029fc3f9644e0.png)
,
![5](/media/m/e/a/3/ea36c795dac330f34d395d8364d379b6.png)
i
![6](/media/m/e/e/e/eeec330d59a70f8ed1d6882474cb02a3.png)
. Neka je
![P](/media/m/9/6/8/968d210d037e7e95372de185e8fb8759.png)
sjecišta simetrale kuta
![\sphericalangle ACB](/media/m/6/e/c/6ec28bd4d78a43afd5757f094efd6a49.png)
i simetrale stranice
![\overline{AB}](/media/m/a/1/a/a1a42310b1a849922197735f632d57ec.png)
. Kolika je u udaljenost središta opisane kružnice trokuta
![ABC](/media/m/a/c/7/ac75dca5ddb22ad70f492e2e0a153f95.png)
do točke
![P](/media/m/9/6/8/968d210d037e7e95372de185e8fb8759.png)
?
%V0
Trokut $ABC$ ima duljine stranica $3$, $5$ i $6$. Neka je $P$ sjecišta simetrale kuta $\sphericalangle ACB$ i simetrale stranice $\overline{AB}$. Kolika je u udaljenost središta opisane kružnice trokuta $ABC$ do točke $P$?