The sides of a triangle are a = 13, b = 15, and c = 14. Let bd be an altitude of the triangle. The angle bisector of ∠A intersects the altitude at e and at f. Find ce : ef and be : ed.
a) 7 : 6 and 5 : 8
b) 6 : 7 and 8 : 5
c) 5 : 6 and 7 : 8
d) 6 : 5 and 8 : 7
