In the diagram, DC is 10 units and BC is 6 units. What is the length of segment AC?

For this case what we must observe are the following triangles:
ADB
BDC
According to the diagram, the triangles have exactly the same dimensions.
Therefore, it is fulfilled:
[tex] AB = BC = 6
[/tex]
Then, the value of AC is given by:
[tex] AC = AB + BC
[/tex]
Substituting values we have:
[tex] AC = 6 + 6
AC = 12 units
[/tex]
Answer:
The value of AC is given by:
[tex] AC = 12 units
[/tex]
option 3