
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
Two triangles, $\triangle ABC$ and $\triangle DEF$, are drawn such that $\triangle ABC \sim \triangle DEF$. The lengths of segments $BC = 8$ cm and $AB = 10$ cm in $\triangle ABC$, and $DE = 24$ cm in $\triangle DEF$. If angle $BAC = 90^\circ$ and angle $EDF = 90^\circ$, what is the length of segment $EF$?

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