
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]


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A sphere with center \(O\) has a radius of \(8\). An isosceles triangle with sides \(17, 17,\) and \(16\) is situated in space such that each of its sides is tangent to the sphere. Determine the distance between \(O\) and the plane determined by the triangle.

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