Locating Shortest Segment

It’s easy to estimate the location. The challenge is to be able to locate and draw the boundary line by geometric construction and to explain why the respective areas remain unchanged.

parallel lines

One thought on “Locating Shortest Segment

  1. Drop perpendiculars from B and C to opposite side.
    Draw a new diagonal.
    Drop a perpendicular from the intersection of the two diagonals to the opposite sides.
    This is the new boundary line between the two properties.
    This also shows that the areas didn’t change

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