(This functionality is available with the Modelling
module)
Flip Triangle is available from the Edit menu in the Terrain Modelling Task.
This allows a triangle side to be selected, and that side to then be 'moved' to the vertices of the triangles that did not use the side. Only sides that will form valid triangles may be selected.
This command does not have a dialog box, and can be exited by pressing the escape key.