
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
The chord  $[CD]$  is parallel to the diameter  $[AB]$  of a circle with center  $O$ . The tangent line at  $A$  meet  $BC$  and  $BD$  at  $E$  and  $F$ . If  $|AB|=10$ , calculate  $|AE|\cdot |AF|$ .

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