
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 \(ABC\), \(AB = AC\). The distances from the vertex \(C\) to the trisection points of side \(AB\) are 17 cm and 20 cm, respectively. What could be the distances from vertex \(A\) to the trisection points of the base?

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