AutoCad :: Use Command To Create Single Break Point

Autocad2008 has the Break, Break at Point, and Dimension Break tools. There may be other variations of the break command, but I'm not able to fined a way to quickly use any of these commands to create a very simple single break point on a single segmented line at an unequal segment. I'm surprised Break at Point doesn't fit the billet.

Example:
I've drawn vertical line 10 units long. I would like to place a single break point at 7.956 units from either endpointe of that very same line. This is not a polyline. When selected it is depicted as a line with two equal segments.

The purpose of the break is so that I can intersect a horizontal line at 7.956 units located on the vertical line.

It seems to me that with all of the break tools available, one of them should be able to accomplish this simple task on the fly. Even most basic CAD programs such as Draft It, has a break tool that performs this function easily and quickly with one mouse click and one single text box entry.

Also, the fastest way I have found to accomplish this task is to simply draw another vertical line 7.956 units over the original vertical line, and that allows me to attach my horizontal line at 0 or 180 degrees from the vertical 7.956 units. I then go back and delete the second vertical line.