
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 $\triangle ABC$, $AB = 95$, and $AC = 87$. A circle with center $A$ and radius $AC$ intersects $\overline{BC}$ at points $B$ and $X$. $\overline{BX}$ and $\overline{CX}$ have integer lengths. What is the length of $BC$?
A) 48
B) 50
C) 52
D) 54

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