
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 length of the line parallel to the base that divides the triangle into sections of area 1 and 2, counting from the top, can be found if the height of the triangle is known, using properties of similar triangles and the given ratio of the areas of the three sections within the triangle.

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