
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 lines dividing the triangle into four equal areas are actually the medians to the base, and thus, the base is a median of the triangle. Given that the height of the triangle from the base to the opposite vertex is $10$ inches, and the base of the triangle is $20$ inches, find the length of the segment of the median from the base that is not drawn to the vertex.

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