Respuesta :

Answer:

A

Step-by-step explanation:

Since AD  is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{AC}{AB}[/tex] = [tex]\frac{CD}{BD}[/tex] , substitute values

[tex]\frac{AC}{8}[/tex] = [tex]\frac{3}{6}[/tex] ( cross- multiply )

6AC = 24 ( divide both sides by 6 )

AC = 4 cm → A

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