Neka su
![M](/media/m/f/7/f/f7f312cf6ba459a332de8db3b8f906c4.png)
i
![N](/media/m/f/1/9/f19700f291b1f2255b011c11d686a4cd.png)
redom nožišta visina iz vrhova
![A](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
i
![B](/media/m/c/e/e/ceebc05be717fa6aab8e71b02fe3e4e3.png)
šiljastokutnog trokuta
![ABC](/media/m/a/c/7/ac75dca5ddb22ad70f492e2e0a153f95.png)
. Neka je
![Q](/media/m/4/5/c/45ce8d14aa1eb54f755fd8e332280abd.png)
polovište dužine
![\overline{MN}](/media/m/e/8/8/e888efd177265712eaea12addd4f74cd.png)
, a
![P](/media/m/9/6/8/968d210d037e7e95372de185e8fb8759.png)
polovište stranice
![\overline{AB}](/media/m/a/1/a/a1a42310b1a849922197735f632d57ec.png)
. Ako je
![|MN| = 10](/media/m/9/c/c/9cc6afc27129d25f35f8fc11504a083e.png)
i
![|AB| = 26](/media/m/6/a/6/6a66686131bd3f406c77e4e149695e1e.png)
, odredi duljinu
![|PQ|](/media/m/2/3/1/23157bb8be5077ec523b93e204da873d.png)
.
%V0
Neka su $M$ i $N$ redom nožišta visina iz vrhova $A$ i $B$ šiljastokutnog trokuta $ABC$. Neka je $Q$ polovište dužine $\overline{MN}$, a $P$ polovište stranice $\overline{AB}$. Ako je $|MN| = 10$ i $|AB| = 26$, odredi duljinu $|PQ|$.