
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 lengths of the parallel sides of a trapezoid are \(a\) and \(b\), and its height is \(m\). Determine the distance from the centroid of the trapezoid to one of the parallel sides.

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