
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 rectangle $ABCD$, $\overline{AB} = 24$ and $\overline{BC} = 7$. Let $E$ be a point on $\overline{CD}$ such that $\overline{DE} = 3$. What is $\overline{AE}$?
A) $7\sqrt{3}$
B) $\sqrt{58}$
C) $5\sqrt{3}$
D) $8\sqrt{2}$
E) $10$

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