Sofa Moving Problem

or If the Movers Had Been Mathematicians

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Exploration


Consider the construction on the right.
Change the length of the pole by changing the value of the slider p. Move point A along the "wall" and see if the pole can be moved around the corner I. The pole will turn red when it touches the corner or intersects the inner walls. What is the maximum length of the pole that can be moved around the corner? Write down your result.



Tips and Tricks.
You can achieve better accuracy of your result if you diminish the increment of the slider p. Try it by setting 0.05 or 0.01 as increment in the Object Properties dialog for the slider.
Compare your result with the .


Continue


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