
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 that a triangle and a trapezoid share the same altitude, and they are equal in area, the base of the triangle is 24 inches, and the smaller base of the trapezoid is half the size of its larger base, find the median of the trapezoid.

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