
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 triangle with a base of 20 inches and a height of 24 inches is divided into four equal areas by two lines drawn parallel to the base, terminating in the other two sides. Find the length of the parallel line closer to the base.

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