: The sum of the distances is minimal(stage b).
The applet allows to investigate the task : Finding the location of the point P inside the triangle or outside the triangle, for which the sum of the distances from that point to the vertices of the triangle is minima.
In this applet, one can drag each of the vertices of the triangle, and the point P, freely. In each situation the screen displays the sum of the lengths of the segments , and the values of the angles , , , and . The point P is dragged, and it is obtained that the smallest value of the sum of the segments is obtained when all three angles equal 120°. Using this applet one can see this conclusion for an obtuse angled triangle also.