Some tips about finding incenter of a triangle

Let's think on the next task to be solved usiong GeoGebra.

The task seems to be easy and clear, no doubts should appear on understanding it.

On next screen you can practice. Later on we will focus on some points, but please practice first.

So if you practised a litlle bit, let's focus on some points:
Those are the points that one might consider when designing a new activity to be embed into Moodle with the new module.

• can we use right clic? Might it be useful? 
• Can we use undo button? Remenber that this is not an activity done with the module, this is just an exemple fromGeoGebraTube.
• Could be do this task without the tool bar?
  Let's think for a minute on it. May it be useful this task without the tool bar? But maybe with some other activities GeoGebra's tool bar may not be necessary.
• And what about input's bar?
  Do you know the command TriangleCenter[ <Point>, <Point>, <Point>, <Number> ]?
  Try with command TriangleCenter[A,B,C,1]. Yes! The incenter without any clic, just one command!
• And maybe, an advanced stuident could write down some commands:
  

  Polygon[A,B,C]
  Incircle[A,B,C]
  b_a = AngleBisector[A,B,C]
  b_b = AngleBisector[B, C, A]
  M = Intersect[b_a, b_b]
  
  awesome, isn't it?

• You may probably used buttons: , , , .
  And if you didn't use any other button, probably there's a mistake on yours construction: the circle maybe is quite close but not exactly the incircle  
  It happens some times, doesn't it? You might have seen this with some students...
  Remember that incircle's radius equalls the distancie from center to anyone of the sides. So called distance could be done with a line from incenter but perpendicular to one of the sides. So probably a customised toolbar could be interesting. Button   should be one of them.

• So, maybe it should be useful to customise the toolbar, in order to only have access to certain tools (like in a compass and straightedge construction).

• If the 3 given points are free, you can test if it's a drawing or a construction, please "drag'n drop" and note how it is done.
  But what happens if the 3 given points can't be moved? Maybe they are randomly positioned for each new attempt.
• So let's talk about randomness.
• By the way, if 3 given points where absolutely random, may them always form a triangle? Maybe we better work with pseudo-random points in order to ensure that the 3 points forms a triangle.
• And some other things: did you draw internal AngleBisectors or external AngleBisectors? All of them together? Please notice that instead of selecting the sides, you can select the vertices, of course in a appropiate order, and so you may obtain only internal AngleBisector.
• What appens if you press F5 from keyboard? And keyboard combination CTROL + R? What will happen with an activity embeded with the new module for Moodle?
• And of course there is the chance of guiding student process using listeners and JavaScript (only for advanced users)
• And finally wich should be the best dimmensions of the applet? Maybe if your students have some netbooks you should think quite well on it...