
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
Xiao Ming uses a $10cm$ long iron wire to form an isosceles triangle with three sides of integer lengths. Express the length of the legs of the isosceles triangle in terms of an equation and solve for their integer values.

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