
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 triangle with a perimeter of 20 cm has an inscribed circle. The segment of the tangent to the circle, drawn parallel to the base and contained between the sides of the triangle, is 2.4 cm. Find the base of the triangle.

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