
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
An equilateral triangle has segments drawn from each vertex to points on opposite sides, dividing each side into three parts. The known lengths of the segments from one vertex are 5 cm, 10 cm, and 2 cm in sequence from the vertex, and the shortest segment from another vertex is 1.5 cm. Additionally, one other segment adjacent to the shortest segment measures 11.5 cm. Determine the length of the remaining segment of the triangle side that is split by these segments.
A) 3 cm
B) 4 cm
C) 5 cm
D) 6 cm

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