Na stranici
paralelograma
dana je točka
takva da je
. Presjek pravaca
i
je točka
. Ako je
, izračunaj omjer duljina dužina
i
On side
of parallelogram
a point
is given such that
. The intersection of lines
and
is point
. If
, calculate the ratio of the lengths of segments
and
[lang=hr]
Na stranici $\overline{AD}$ paralelograma $ABCD$ dana je točka $M$ takva da je $|\overline{AM}| = \frac{1}{5} |\overline{AD}|$. Presjek pravaca $AC$ i $BM$ je točka $N$. Ako je $\sphericalangle BAD = \frac{\pi}{7}$, izračunaj omjer duljina dužina $\overline{AN}$ i $\overline{NC}$
[/lang]
[lang=en]
On side $\overline{AD}$ of parallelogram $ABCD$ a point $M$ is given such that $|\overline{AM}| = \frac{1}{5} |\overline{AD}|$.
The intersection of lines $AC$ and $BM$ is point $N$.
If $\sphericalangle BAD = \frac{\pi}{7}$, calculate the ratio of the lengths of segments $\overline{AN}$ and $\overline{NC}$
[/lang]
