
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 a point \(M\), lying inside triangle \(ABC\), to its sides \(AC\) and \(BC\) are 2 cm and 4 cm, respectively. Calculate the distance from point \(M\) to the line \(AB\), given that \(AB = 10 \text{ cm}\), \(BC = 17 \text{ cm}\), and \(AC = 21 \text{ cm}\).

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