Respuesta :

Answer:

CD=9

Step-by-step explanation:

ΔABD=>

AD²=AB² + BD²                  [Pythagorean Theorem]

BD²=   AD²-AB²

BD²=9²-3²

BD²=72

BD=√72=6√2....(1)

ΔBCD=>

CD²=BD²+BC²

CD²=(6√2)² + 3²

CD²=72+9

CD²=81

CD=√81

CD=9