Odabrano je
dijagonala pravilnog
-terokuta koje se sijeku u jednoj točki koja nije centar tog
-terokuta. Koliko najviše može iznositi
?
A set of
diagonals of a regular
-gon is chosen such that they intersect at a point that is not the center of the
-gon. What is the maximum possible value of
?
[lang=hr]
Odabrano je $k$ dijagonala pravilnog $30$-terokuta koje se sijeku u jednoj točki koja nije centar tog $30$-terokuta. Koliko najviše može iznositi $k$?
[/lang]
[lang=en]
A set of $k$ diagonals of a regular $30$-gon is chosen such that they intersect at a point that is not the center of the $30$-gon. What is the maximum possible value of $k$?
[/lang]
