
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
Given one of the sides of a triangle is divided into segments of 9 and 15 units by the point of tangency of the inscribed circle, and the radius of the circle is 5, calculate the length of the shortest side.

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