
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
In a coordinate plane, point $A$ is located at $(0,10)$ and point $B$ at $(0,0)$. Point $C$ is at $(12,0)$. Points $D$ and $E$ are the midpoints of $\overline{AB}$ and $\overline{BC}$ respectively. Find the area of $\triangle DBC$.

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