
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
One leg of a right triangle is 15 cm, and the projection of the other leg onto the hypotenuse is 16 cm. Find the radius of the circle inscribed in the triangle.

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