
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
In $\triangle ABC, AB = 16, BC = 17$ and $CA = 15$. Let $M$ be the midpoint of side $AB$ and $H$ be the foot of the altitude from $A$ to $BC$. Determine the length of $HM$.
**A)** 5.25
**B)** 5.75
**C)** 5.5
**D)** 6.25
**E)** 5.76

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