
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In $\triangle ABC$, the line segment $AD$ bisects $\angle BAC$. The lengths of $BD$, $DE$, and $EC$ are 2, 3, and 9, respectively. Determine the length of side $AC$ if the length of side $AB$ is given as 10.
A) 55
B) 60
C) 65
D) 70

Present the answer in LaTex format: \boxed{Your answer}
user