Relating Changing Quantities (in Triangles)
Explore the applet by moving vertex B of ABC.
What quantities (quantifiable properties) of this triangle do not change? What quantities change?
List down all the properties of ABC that do not change as you move vertex B.
List down all the properties of ABC that change as you move vertex B.
Among all the changing quantities that you listed in the previous task, choose at least two quantities and describe how they are related. You may also use symbols and representations to describe their relationship. Identify as many related quantities.