
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 has one of its sides divided into segments of 7 and 9 units by the point of tangency of the inscribed circle. If the radius of the circle is 5, determine the length of the shortest side of the triangle.

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