
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 $20cm$ is used to form an isosceles triangle.<br/>$(1)$ If the length of each leg is twice the length of the base, what are the lengths of each side?<br/>$(2)$ Can an isosceles triangle with one side length of $5cm$ be formed? If so, please find the lengths of the other two sides.

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