
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
Let $C$ be a point not on line $AF$ and $D$ a point on line $AF$ such that $CD \perp AF$. Meanwhile, $B$ is a point on line $CF$ such that $AB \perp CF$. If $AB = 6$, $CD = 3$, and $AF = 12$, then what is the length of $CF$?

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