Mathematics

Problem

\triangle ABC

D

and

E

are the midpoints of

AB

and

AC

respectively. Point

F

lies on

BC

such that quadrilateral

BDEF

is a parallelogram. If

BD = 5\,\text{cm}

and

FC = 3\,\text{cm}

, then the length of

BC

is a)

5\,\text{cm}

10\,\text{cm}

6\,\text{cm}

8\,\text{cm}