
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 circle is inscribed in an isosceles triangle with a base of 12 cm and a height of 8 cm. A tangent parallel to the base is drawn to the circle. Find the length of the segment of this tangent that lies between the sides of the triangle.

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