cakreclau6164 cakreclau6164
  • 07-05-2020
  • Mathematics
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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

Respuesta :

jbiain jbiain
  • 12-05-2020

Answer:

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

Answer Link

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