
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 circle is inscribed in an isosceles triangle where the base is 20 and the height is 24. The diameter of the circle is along the base of the triangle. Determine the radius of the circle.
A) $\frac{125}{13}$
B) $\frac{120}{13}$
C) $\frac{120}{17}$
D) $\frac{125}{14}$

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