
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 a trapezoid, the length of the midline is 10cm, and one diagonal divides the midline such that the difference between the two parts is 3cm. Find the length of the larger base of the trapezoid.

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