The image above depicts a triangular piece of land, ACD, with two roads, segments BE and CF, cutting across the property. The owner wishes to add a fence along segment BC. The entire triangular piece of land is an isosceles triangle in which sides AC and CD both equal 9 miles. Segment CF represents the perpendicular bisector of the 13 mile-long base. If triangles BKC and FKE, formed from the intersection of the two roads, are congruent and segment AE is equal to side CD, what is the length of segment BC?
Select one:
A. 2.5 miles
B. 3.0 miles
C. 3.5 miles
D. 4.0 miles