
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 are on parallel bases and share the same height, the base of the triangle is 24 inches, and the area of the triangle is 192 square inches, find the length of the median of the trapezoid assuming it has the same area as the triangle.

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