Sofa Moving Problem

or If the Movers Had Been Mathematicians

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Results of Our Exploration


If you have been patient and light-handed enough, you probably can answer our questions:


1. Can a 2 m pole be moved around the corner?
Yes, it can. Of course, we assume that 1 unit in GeoGebra is equal to 1 meter.
2. What is the maximum length of a pole that can be moved around the corner?
Somewhere around 2.7 - 2.8 m.
3. What conditions should be met for the pole to reach its maximum length?
It seems pretty obvious that the ends of the longest possible pole should touch the external walls of the hallway and the pole itself should touch the inner corner I.


We will continue our exploration on the next page.


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