
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
Let  $RICE$  be a quadrilateral with an inscribed circle  $O$  such that every side of  $RICE$  is tangent to  $O$ . Given taht  $RI=3$ ,  $CE=8$ , and  $ER=7$ , compute  $IC$ .

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