
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
Let $ABCD$ be a rhombus with diagonals $AC = 24$ and $BD = 10$. Let $M$ be a point on $\overline{AD}$, and let $R$ and $S$ be the feet of the perpendiculars from $M$ to $\overline{AC}$ and $\overline{BD}$, respectively. What is the minimum possible value of $RS$?
A) $0$
B) $2.5$
C) $5$
D) $7.5$

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