Respuesta :

Answer:

CD = 9

Step-by-step explanation:

ΔADE is similar to ΔBCD

Such that:

AD is similar to CD

BD is similar to ED

AE is similar to BC

Taking the proportion of their sides to find the unknown sides CD

=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]

Cross Multiplying

=> 2(CD) = 3*6

=> CD = 18/2

=> CD = 9