
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 $\triangle ABC$, $\angle C = 90^\circ$ and $AB = 10$. A square $ABXY$ is constructed outside of the triangle, and rectangle $CBWZ$ with $CB = BW = x$ and $WZ = CZ = 6$ is constructed on the other side. Points $X$, $Y$, $Z$, and $W$ lie on a circle. What is the perimeter of the triangle?
A) 22
B) 24
C) 26
D) 28

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