The angle bisectors have been constructed on the following triangle, creating an incenter at point D. Answer the following questions using the geogebra applet to experiment.
1) The distance from D to each of the sides has been calculated for you. What do you notice? Would the incenter be a good location for the power station (equidistant from the vertices) or the campground (equidistant from the sides)? 2) Form an acute, right, and obtuse triangle. Is the incenter always inside the triangle?