samuelson mathxp

Four towns (A, B, C, D) are situated to form a square with side length of 1 unit. Determine the minimum length of roadway that will link these four towns together.

View the James Grime video first.

Click on the following link for an interactive exploration: GeoGebra

The graph below shows the length of roadways linking these towns as a function.

Length as a Function of  “x”

Click on the link provided here to determine local minimum.

Thanks for reading.