
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 chord AB of length 6 passes through the left focus F<sub>1</sub> of the hyperbola $$\frac {x^{2}}{16}- \frac {y^{2}}{9}=1$$. Find the perimeter of the triangle ABF<sub>2</sub> (where F<sub>2</sub> is the right focus).

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