
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
A right triangle \(ABC\) is divided by the altitude \(CD\), drawn to the hypotenuse, into two triangles \(BCD\) and \(ACD\). The radii of the circles inscribed in triangles \(BCD\) and \(ACD\) are 4 cm and 3 cm, respectively. Determine the distance between their centers.

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