
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
Piravena must travel from $A$ to $B$, then from $B$ to $C$, then back from $C$ to $A$. Each leg of the trip is made either entirely by bus or by airplane. The cities form a right-angled triangle, where $A$, $B$, and $C$ are vertices, with $C$ being 1500 km from $A$ and $B$ being 2000 km from $A$. Determine the distance Piravena travels for her complete trip.

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