
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 right-angled trapezoid \(ABCD\), the diagonals intersect at \(M\) and are perpendicular to each other. Construct the trapezoid if you know that the distances from \(M\) to two of the vertices are 8 and 27 units.

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