Has the "ambiguous case" ever caused any "real-world" problems?
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@futurebird Not knowing what the question is doesn't help.
The question I'm asking or...?
@futurebird Fun question. I doubt it. The problems leading to it have the sort of limited set of restrictions you don't get in the real world.
Unless you count "I made a program to solve this problem and it gets wrong answers" 'real world'. In which case probably.
I could see it happening in 3D rendering if you assumed that you would have the same triangle with the wrong set of information.
@futurebird @btuftin yeah, 3D rendering is the case I thought of first.
@futurebird I was recently thinking about this exact non-rule of congruence and couldn't remember why it doesn't work. I looked it up and was annoyed I hadn't figured it out.
The only way I can imagine real-world problems is if the information was communicated, both parties believed it was unambiguous, the receiver drew a different triangle than the sender intended, and the error was not obvious from context ("there must be some mistake, an obtuse triangle doesn't work here").