
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 distances from point \( M \), located inside triangle \( ABC \), to its sides \( AC \) and \( BC \) are 2 and 4, respectively. Find the distance from point \( M \) to line \( AB \), given that \( AB = 10 \), \( BC = 17 \), and \( AC = 21 \).

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