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16 November, 12:19

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

+3
Answers (1)
  1. 16 November, 12:44
    0
    BE is 4 units long

    Step-by-step 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
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