
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 triangle \(ABC\), \(AB=7\), \(AC=9\), \(BC=11\), and \(E\) is the midpoint of \(AC\). Find the sum of the radii of the circles inscribed in triangles \(AEB\) and \(BEC\).
A) 3
B) 3.43
C) 3.5
D) 3.8

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