
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

Based on an isosceles triangle with a base of 8, a circle is inscribed such that it touches the sides of the triangle. Find the radius of the circle if the height dropped to the base of the triangle is 3.

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