
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, points $A$, $B$, and $C$ are located at $(0, 8)$, $(0, 0)$, and $(10, 0)$ respectively. Points $D$ and $E$ are midpoints of line segments $\overline{AB}$ and $\overline{BC}$ respectively. Calculate the area of triangle $DBC$.

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