Question

V

15 10

In the circle shown, chords AC and BD intersect at E. If AE = 6, EC =

12, and DE = 18. How long is

BE

Answer 1

BE is 4 units long

Explanation:

Data

• AE = 6

• EC = 12

• DE = 18

Given that chords AC and BD intersect at E, then the following equation must be satisfied:

AE * CE = DE * BE

Replacing with data and isolating BE:

6*12 = 18*BE

BE = 6*12/18

BE = 4