
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 the coordinate plane, points B and C are located at (0,0) and (4,0) respectively, and point A is at (0,3). A vertical line $x = a$ is drawn such that it divides the triangle ABC into two regions with equal areas. Find the value of $a$.
A) $a = 1$
B) $a = 2$
C) $a = 3$
D) $a = 4$

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