
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
The side of a triangle is 48 cm, and the height drawn to this side is 8.5 cm. Find the distance from the center of the circle inscribed in the triangle to the vertex opposite the given side, if the radius of the inscribed circle is 4 cm.

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