Triangle with given sides (SSS)

Given the lengths of the sides of a triangle, construct it.

Here the lengths are AB=10, BC=8 and AC=6 (to start with). D and E lie between A and B so that AE=AC and BD=BC. You can move the points A, B, D and E. Note what happens to C as you move D towards B ... What about when D reaches E ... and moves to beyond E (towards B)? Move D back again between A and E, noticing all the while ... Next, leave D fixed and move E ... Finally move A (or B) so that AB is no longer horizontal ... Write down everything your notice ...