
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 is plotted on a Cartesian coordinate system with vertices at (10, 1), (15, 8), and (10, 8). Calculate the area of this triangle in square units and round your answer to one decimal place.

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