
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
Consider an isosceles triangle $\triangle ABC$ where $AB = AC = 3$ and $BC = 4$. Let $D$ be the midpoint of $\overline{AB}$, and $E$ be a point on $\overline{AC}$ such that $AE = 2$. Find the area of $\triangle DEC$.
**A)** $0.9$
**B)** $1.0$
**C)** $1.1$
**D)** $1.2$
**E)** $1.3$

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