U trokutu
odaberemo točku
.
,
,
. Koliko maksimalno iznosi umnožak udaljenosti točke
od stranica trokuta?
In a triangle
choose point
.
,
,
. What is the greatest possible product of distances of the point
from the sides of the triangle?
[lang=hr]
U trokutu $\triangle ABC$ odaberemo točku $P$. $|AB|=5$, $|BC|=9$, $|CA|=8$. Koliko maksimalno iznosi umnožak udaljenosti točke $P$ od stranica trokuta?
[/lang]
[lang=en]
In a triangle $\triangle ABC$ choose point $P$. $|AB|=5$, $|BC|=9$, $|CA|=8$. What is the greatest possible product of distances of the point $P$ from the sides of the triangle?
[/lang]
