Who assigned this? . . . It is an ugly problem!
Given a point with ,
determine the minimum perimeter of a triangle with one vertex at ,
one on the x-axis, and one on the lineCode:| * | * | R * | (y,y)o | * * * | * * * P | * * o(a,b) | * * * | * * * - + - - - - - - - - o - - - - - | (x,0) | Q
Let be on the x-axis.
Let be on the line
And now solve the system: .