
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
Consider an equilateral triangle, where each side has equal length. Like all triangles, it has altitudes, medians, and angle bisectors:
- **Altitudes** are the lines from each vertex perpendicular to the opposite side.
- **Medians** are the lines from each vertex that bisect the opposite sides.
- **Angle Bisectors** are the lines from each vertex that divide the angles into two equal parts.
How many distinct individual lines, consisting of altitudes, medians, or angle bisectors, are there in total in this triangle?
A) 1
B) 3
C) 6
D) 9

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