Answer:
CD ≈ 2.6
Step-by-step explanation:
The line AD is an angle bisector and divides the opposite sides 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{4.6}{6.8}[/tex] = [tex]\frac{CD}{3.8}[/tex] ( cross- multiply )
6.8CD = 17.48 ( divide both sides by 6.8 )
CD ≈ 2.6 ( to 1 dec. place )
