
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
A square $ABCD$ has side length 20 m. Two identical right triangles are cut from two opposite corners of the square, $A$ and $C$, each having legs along the sides of the square. The area of each triangle cut off is $50 \text{ m}^2$. Determine the length of the diagonal of the resulting quadrilateral after the triangles have been removed.

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