
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
A triangle and a trapezoid share the same altitude and have equal areas. The base of the triangle is 24 inches. If one base of the trapezoid is 10 inches longer than the other base, find the median of the trapezoid.

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