
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
On a section of the map, three roads form a right triangle. When motorcyclists were asked about the distance between $A$ and $B$, one of them responded that after traveling from $A$ to $B$, then to $C$, and back to $A$, his odometer showed 60 km. The second motorcyclist added that he knew by chance that $C$ was 12 km from the road connecting $A$ and $B$, i.e., from point $D$. Then the questioner, making a very simple mental calculation, said:

- It's clear, from $A$ to $B \ldots$

Can the reader quickly determine this distance as well?

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