
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 triangle  $ABC$ , side  $AC$  is  $8$  cm. Two segments are drawn parallel to  $AC$  that have their ends on  $AB$  and  $BC$  and that divide the triangle into three parts of equal area. What is the length of the parallel segment closest to  $AC$ ?

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