I've been stuck on this problem for a while now, so I thought I'd try to get help online. I'd be incredibly thankful for any pointers you could give me to get started, since I've tried approaching it in several ways but been unable to get an answer.
"The point P is on the bisector of an angle with its corner in A. A line is drawn through P that intersects the angles legs in points B and C. Show that the value of 1/AB + 1/AC is the same, regardless of how we choose to draw the line."
"The point P is on the bisector of an angle with its corner in A. A line is drawn through P that intersects the angles legs in points B and C. Show that the value of 1/AB + 1/AC is the same, regardless of how we choose to draw the line."