In the applet below, you can change the size of the triangle by moving any one (or more) of its vertices.[br][color=#ff00ff][b][br]You can also alter the size of the (soon to appear) pink angle by using the pink slider. [br][/b][/color](You can also zoom in/out.)
What vocabulary term would you ascribe to the 3 gray segments WITHIN THIS TRIANGLE?
How do these 3 gray segments intersect? Describe.
[b][color=#1e84cc]The light blue point is called the triangle's INCENTER.[/color][/b] [br]Notice there are 3 equal distances in this triangle. How would you describe these equal distances in your own words? [br][br]That is, each of these distances is the distance from _________ to ___________?
Why do your observation(s) and response to (3) above hold true? What previously learned theorem justifies this?
For a hint, [url=https://www.geogebra.org/m/tU3ZqhjN]click here[/url].