# A geometry problem by Paola Ramírez

Geometry Level 4

In a $$\triangle ABC$$, the bisector of $$\angle B$$ cuts $$AC$$ on $$D$$ and intersects $$\triangle ABC$$ circumcircle on $$E$$. $$\triangle DAE$$ circumcircle cuts again $$AB$$ on $$F$$.

Find $$\dfrac{\text{Area} \triangle DBC}{\text{Area} \triangle DBF}$$.

×