
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 \(\triangle ABC \sim \triangle FGH\) with \(BC = 30\) cm and \(FG = 9\) cm. Given \(AB = 18\) cm, find the length of \(GH\). Assume that the ratio \(AB : FG\) is the same as \(BC : GH\).

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