Respuesta :

Answer:

  9 cm

Step-by-step explanation:

In a 30°-60°-90° triangle, the ratio of the shortest to the longest sides is 1 : 2.

That means DB = 1/2BC = 3 cm. It also means AB = 2BC = 12 cm.

Then the length of AD is ...

  AD +DB = AB

  AD = AB -DB = 12 cm -3 cm

  AD = 9 cm