
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
Circles with radii 2, 3, and 4 are mutually externally tangent. What is the area of the triangle determined by the points of tangency?
A) $12\sqrt{2}$
B) $6\sqrt{6}$
C) $18$
D) $9\sqrt{2}$
E) $12\sqrt{3}$

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