Isosceles Triangle II

https://www.desmos.com/calculator/t8ybikorqu

When does the triangle ABC become isosceles?  

We take the same analytic path we developed for Isosceles Triangle I. Again, the starting and ending triangles are isosceles and we ask whether there might be other times at which ABC is also isosceles. The students play with the animation and find a number of candidates. Indeed they seem to find examples with each of the three possible pairings.