Given Data
Line AC and BD are chords intersecting at E
Line EC = 8
Line DE = 16
Line AE = 6
Required
To find the length of line BE
Given the intersecting chords above
[tex]AE\text{ }\times EC=BE\times DE[/tex]
substituting the given data into the equation yields
[tex]\begin{gathered} 6\times8=BE\text{ }\times16 \\ BE\text{ =}\frac{48}{16} \\ BE=3 \end{gathered}[/tex]
The length of BE = 3, thus Option B
