
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
A right-angled triangle has an inscribed circle with a radius of 4 cm. If the hypotenuse makes an angle of 45 degrees with one of the legs, what is the length of the hypotenuse? Express your answer in simplest radical form.

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