
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
Draw the lines parallel to two sides of a triangle that halve the area of the triangle. In what ratio does the line drawn parallel to the third side through their intersection point divide the area of the triangle?

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