
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
In a right triangle $ABC$, with $\angle BCA = 90^\circ$, the circle is tangent to the hypotenuse $AB$ and side $BC$. If $AB = 10$ and $BC = 6$, find the radius of the circle inscribed in triangle $ABC$.
A) 1.5
B) 2
C) 2.5
D) 3

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