Respuesta :

Answer:

[tex]ED=32\ units[/tex]

Step-by-step explanation:

we know that

Applying the Intersecting Secant Theorem

[tex]AC*BC=EC*DC[/tex]

substitute the values

[tex](16+5)*(5)=(ED+3)*(3)[/tex]

Solve for ED

[tex](21)*(5)=(ED+3)*(3)[/tex]

[tex]35=(ED+3)[/tex]

[tex]ED=35-3=32\ units[/tex]