
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 a right trapezoid \( ABCD \) with the upper base \( AB \) of length 1 and the lower base \( DC \) of length 7. Connecting point \( E \) on side \( AB \) and point \( F \) on side \( DC \), the segment \( EF \) is parallel to \( AD \) and \( BC \). If segment \( EF \) divides the area of the right trapezoid into two equal parts, what is the length of segment \( EF \)?

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