
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
Three circles have radii of 3, 4, and 5 units, respectively, and are all tangent to the same line \( l \). Let these circles be centered at \( A \), \( B \), and \( C \) respectively. Circle centered at \( B \) is externally tangent to the other two circles. What is the area of triangle \( ABC \)?
- **A) 7**
- **B) 8**
- **C) 9**
- **D) 10**

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