Question

In the accompanying diagram of circle o, chords ab and cd intersect at e. if ae x eb = 18 and ed = 6, what is ce?

a: 108
b: 24
c: 3
d: 18

Answer 1

CE = 3

Explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

CE × ED = AE × EB , that is

CE × 6 = 18 ( divide both sides by 6 )

CE = 3