What Is the Maximum Length of a Bar That Can Fit Through a Corner?

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SUMMARY

The maximum length of a bar that can fit through a corner formed by two hallways is determined by the dimensions of the hallways, specifically their widths, denoted as x and y. The optimal solution involves calculating the diagonal of the rectangle formed by the intersection of the two hallways. This diagonal represents the longest line that can be drawn within the constraints of the space, effectively maximizing the length of the bar that can be maneuvered through the corner.

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maxpayne_lhp
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"Around the corner" problem?

Hey, I got this assignment from my class... it asks for the maximum length for a bar in order to get it through a corner created by 2 hallways... I am provided with the width of the 2 hallways and that's it. Can someone gimme a suggestion?
Thanks

Nam
 
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Draw a diagram of the two hallways, where x and y are the widths of the two hallways.
________________________________________
| |
| |
| x
| |
| |________________________
|-------y--------|
| |
| |
| |
| |
| |

I'd think the maximum bar would be the longest line you can draw in the rectangle formed by the intersection of the hallways; ie the diagonal.

PS sorry about the diagram; it looked fine when I was writing it. Move a vertical line over to the right(to the end of the y line) and it really does look like two hallways
 
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