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Moderate

Tangent Segments

ACTMAT-VKIKXE

In the figure below, $ {\Delta}ABC$ is tangent to circle $O$ at $D$, $E$, and $F$.

If $AD = 4$ cm, $DB = 12$ cm, and $EC = 8$ cm, what is the perimeter of $ {\Delta}ABC$?

A

$\text{24 cm}$

B

$\text{32 cm}$

C

$\text{40 cm}$

D

$\text{44 cm}$

E

$\text{48 cm}$