Marinada '23

[lang=hr] Dan je jednakokračan $\triangle ABC$ s osnovicom $BC$ takav da težišnica iz vrha $B$ i osnovica zatvaraju kut od $45 ^\circ $. Ako duljina visine iz vrha $A$ iznosi $6$, kolika je površina tog trokuta? [/lang] [lang=en] An isosceles $\triangle ABC$ with a base $BC$ is given such that the median from the vertex $B$ and the base enclose an angle of $45 ^\circ $. If the length of the height from the vertex $A$ is $6$, what is the area of ​​that triangle? [/lang]