
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
Given right $\triangle DEF$ with legs $DE=6, EF=8$. Find the length of the bisector from vertex $E$ to the hypotenuse.
A) $\frac{24}{7}$\
B) $\frac{15\sqrt{3}}{7}$\
C) $\frac{12\sqrt{6}}{7}$\
D) $\frac{25}{7}$\
E) $\frac{8\sqrt{2}}{7}$

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