Dan je pravokutni trokut
![ABC](/media/m/a/c/7/ac75dca5ddb22ad70f492e2e0a153f95.png)
. Točka
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
je polovište hipotenuze
![\overline{AB}](/media/m/a/1/a/a1a42310b1a849922197735f632d57ec.png)
,
![F](/media/m/3/e/8/3e8bad5df716d332365fca76f53c1743.png)
je polovište stranice
![\overline{AC}](/media/m/d/9/5/d95354f0f833a5fda9c16a01a878c14f.png)
,
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
je polovište od
![\overline{CF}](/media/m/f/d/5/fd5b9f8c8ea0edd0f76fe14c8052a5c1.png)
i
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)
je polovište od
![\overline{FA}.](/media/m/f/e/3/fe3467a0a96245f9bb53df12758daf50.png)
Dužina
![\overline{CD}](/media/m/3/3/8/338870e40f3ea7992d83158230115a5f.png)
siječe
![\overline{BE}, \overline{BF}](/media/m/4/d/5/4d5882fda5e47aca0c73ca7147ec1dda.png)
i
![\overline{BG}](/media/m/3/5/e/35ec2da206c5a6f4b47a87f1a3b61417.png)
redom u točkama
![P](/media/m/9/6/8/968d210d037e7e95372de185e8fb8759.png)
,
![Q](/media/m/4/5/c/45ce8d14aa1eb54f755fd8e332280abd.png)
i
![R](/media/m/4/d/7/4d76ce566584cfe8ff88e5f3e8b8e823.png)
. Koliki je omjer
%V0
Dan je pravokutni trokut $ABC$. Točka $D$ je polovište hipotenuze $\overline{AB}$, $F$ je polovište stranice $\overline{AC}$, $E$ je polovište od $\overline{CF}$ i $G$ je polovište od $\overline{FA}.$ Dužina $\overline{CD}$ siječe $\overline{BE}, \overline{BF}$ i $\overline{BG}$ redom u točkama $P$, $Q$ i $R$. Koliki je omjer $\dfrac{|PQ|}{|QR|}?$