Question
In $\triangle ABC,$ angle $B$ is obtuse. $D$ and $E$ are mid$-$points of sides $\text{AB}$ and $\text{BC}$ respectively and $F$ is a point on side $\text{AC}$ such that $\text{EF}$ is parallel to $\text{AB}.$ Show that $\text{BEFD}$ is a parallelogram.
