
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
A thin rope with a length of $18cm$ is used to form an isosceles triangle.<br/>$(1)$ If the length of each leg is twice the length of the base, find the lengths of each side of the triangle.<br/>$(2)$ Can an isosceles triangle with one side length of $4cm$ be formed? If yes, find the lengths of the other two sides; if not, explain why.

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