
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 semicircle is inscribed in an isosceles triangle with base 16 and height 15, such that the diameter of the semicircle is contained in the base of the triangle. Determine the radius of the semicircle.

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