Question 7 (5 points) (03.05 MC)

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB:

The figure shows triangle ABC with segments DE and DF. Point D is on side AB, point E is on side AC, and point F is on side BC. Segment AD is 16, segment AE is 24, segment EC is 36, and segment FC is 27.

Which statement can be proved true using the given theorem?

a
Segment BD = 32

b
Segment BD = 36

c
Segment BF = 15

d
Segment BF = 18