
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
Given an ellipse $$\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1$$ with $a>b>0$, where its foci are $F_1$ and $F_2$, $b=4$, and the eccentricity is $$\frac {3}{5}$$. A line passing through $F_1$ intersects the ellipse at points $A$ and $B$. Find the perimeter of triangle $\bigtriangleup ABF_2$.

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