Respuesta :

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