
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
In a triangle, one of the sides is divided by the point of tangency of the inscribed circle into segments of $9$ and $12$ units. If the radius of the inscribed circle is $5$ units, what is the length of the longest side of the triangle?
A) 15 units
B) 18 units
C) 20 units
D) 21 units
E) 24 units

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