
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 right-angled triangular region is bounded by the x-axis, the line $y = mx$ where $m > 0$ is the slope, and the line $x = h$ where $h$ is a positive constant. Determine the area of this triangular region.
A) $mh^2\qquad$ B) $\frac{1}{2} mh^2\qquad$ C) $\frac{1}{3} mh^2\qquad$ D) $2mh^2$

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