
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 lengths of two sides of a triangle are 12 and 18. Another similar, but not congruent, triangle also has two sides of lengths 12 and 18. Determine the lengths of the third sides of both triangles.

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