Copy of AAA Exploration
In the given exploration, all three angles of the triangle on the right are fixed so that they are always congruent to their corresponding angle in the triangle on the left. You are free to manipulate all the vertices of triangle ABC, as well as the side lengths and position of triangle A'B'C'.
What patterns do you notice between the size of the angles and the side lengths as you manipulate the verticies?
Can you find a way to make the two triangles look different?