
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
In the diagram, $\angle ABC = \angle ACB$. If $BC = 8$ and $AC = 10$, what is the perimeter of $\triangle ABC$? [asy]
draw((0,0)--(3,8)--(6,0)--cycle);
label("8",(3,0),S);
label("$B$",(0,0),SW);
label("$C$",(6,0),SE);
label("$A$",(3,8),N);
label("10",(4.5,4));
[/asy]

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