
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
The vertices of a triangle are: \(A(0, 3)\), \(B(4, 0)\), and \(C(x, 5)\). What is the unknown coordinate \(x\) of vertex \(C\) if \(0 < x < 4\) and the area of triangle \(ABC\) is 8 square units?

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