Probem61+Abby+Elie+Mike+J

A point P needs to be located somewhere on the line AD so that the total length L of cables linking P to the points A,B, and C is minimized. Express L as a function of x= abs(AP) and use the graphs of L and dL/dx to estimate the minimum value.

You will need a diagram and a little pythagorean theorem to reduce the equation for L into one variable. It is not pretty -- I ended up using my calculator and got a value of x = 3.593, if you want to check your work!