
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 with base $20$ and height $24$. The circle touches the base of the triangle and each of the equal sides. Find the radius of the circle.
A) $\frac{16}{3}$
B) $\frac{18}{3}$
C) $\frac{20}{3}$
D) $\frac{22}{3}$

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