
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 a right-angled triangle, the angle bisector of an acute angle divides the opposite side into segments of length 1 and 2. What is the length of the bisector?

A) \(\sqrt{2}\)

B) \(\sqrt{3}\)

C) \(\sqrt{4}\)

D) \(\sqrt{5}\)

E) \(\sqrt{6}\)

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