
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
Modern widescreen television screens are rectangles and are typically measured by the length of their diagonals. The ratio of the horizontal length to the height in these widescreen televisions is $16:9$. Calculate the horizontal length (in inches) of a ``50-inch'' widescreen television screen.

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