Točke
i
nasuprotni su vrhovi kvadrata
. Pravac
siječe stranicu
u točki
, a stranicu
u točki
. Kolika je udaljenost točaka
i
?
Points
and
are opposite vertices of square
. Let
be the intersection of line
and side
, and
be the intersection of that same line and side
. What is the distance between points
and
?
[lang=hr]
Točke $A=(0,0)$ i $C=(7,7)$ nasuprotni su vrhovi kvadrata $ABCD$. Pravac $4y-3x+9=0$ siječe stranicu $\overline{AB}$ u točki $E$, a stranicu $\overline{BC}$ u točki $F$. Kolika je udaljenost točaka $E$ i $F$?
[/lang]
[lang=en]
Points $A=(0,0)$ and $C=(7,7)$ are opposite vertices of square $ABCD$. Let $E$ be the intersection of line $4y-3x+9=0$ and side $\overline{AB}$, and $F$ be the intersection of that same line and side $\overline{BC}$. What is the distance between points $E$ and $F$?
[/lang]