The length of the segment is an illustration of intersecting chords
The value of x is x = 27/14
How to determine the length of the segment?
From the complete question (see attachment), we have:
AD = 12
AE = 3
BE = 14
EC = x
Start by calculating the length of ED
ED = AD - AE
This gives
ED =12 - 3
ED =9
The value of x is then calculated as:
x * BE = AE * ED
Substitute known values
x * 14 = 3 * 9
Evaluate the product
x * 14 = 27
Divide both sides by 14
x = 27/14
Hence, the value of x is x = 27/14
Read more about intersecting chords at:
https://brainly.com/question/13950364
