
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 legs of a right triangle are 36 and 48. Find the distance from the center of the circle inscribed in the triangle to the altitude drawn to the hypotenuse.

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