Triangle ABC has vertices A(2,3), B(10,3) and C(4,11). Points D, E and F are the midpoints of AB, AC and BC respectively.
a. (i) Find the coordinates of D, E and F.
b. (ii) Verify that quadrilateral BDEF is a parallelogram by showing that both pairs of opposite sides are parallel.
c. (iii) Calculate the area of parallelogram BDEF."