
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 the diagram, circle $O$ has a radius of 10 units. Chord $EF$ is 12 units long and parallel to segment $MB$. If $MA = 20$ units and points $M$, $A$, $O$, and $B$ are collinear, determine the area of triangle $MEF$. Represent the answer in simplest radical form.

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