
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
The circle constructed using the larger side \( AB \) of the right trapezoid \( ABCD \) as its diameter intersects the base \( AD \) at its midpoint. It is known that \( AB = 10 \) and \( CD = 6 \). Find the midsegment of the trapezoid.

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