
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
Rectangle $ABCD$ has $AB=6$ and $BC=8$. Segment $EF$ is constructed through $B$ such that $EF$ is perpendicular to $DB$, and $A$ and $C$ lie on $DE$ and $DF$, respectively. What is $EF$?
A) $\frac{40}{3}$
B) 25
C) $\frac{70}{3}$
D) $\frac{103}{9}$
E) 12

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