The sum of the distances is minimal(stag a)
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 B and C is minima.
In each situation, the values of AP, the sum of the lengths of the segments , and the values of and are shown on the computer screen. The point P is dragged, and the smallest values of the sum of the lengths of the segments is obtained when the two angles and are equal