
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 $ABC$ be a right triangle with the right angle at $C$. Let $M$ be the midpoint of $[AB]$ and $H$ be the foot of the altitude from $C$. Given that $CH=1$ and $CM=2$, determine the angle $\widehat{CAB}$.

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