#hypothetical triangle question
mortal patrolBOT
shy ember
what is an 'infinitely long triangle'
honest imp
An isosceles triangle stretched infinitely vertically
shy ember
so it's just two parallel lines?
shy ember
"an isosceles triangle stretched infinitely vertically" isn't really a well-defined term
you can say that it's two parallel lines if you want
honest imp
"an isosceles triangle stretched infinitely vertically" isn't really a well-defi...
I know that’s why it’s hypothetical
shy ember
right so you can define it to be whatever you want
honest imp
nah but I mean like what would you think the awsner is
shy ember
i'd say two parallel lines
honest imp
connecting after an infinite distance but the distance between the two lines doesn’t decrease after any finite distance
honest imp
i'd say two parallel lines
Do you have a reasoning or just an intuitive awsner
I could see it either way
shy ember
there isn't really any reasoning to be done because the question is so poorly defined
shy ember
i think you could maybe formalize it if you think of one of the vertices as a point at infinity
but in that case the lines are parallel
shy ember
Do you have a reasoning or just an intuitive awsner
but you can say that if you translate the non-base vertex of the isosceles triangles more and more up, the base angles approach 90 degrees
so the limit would be parallel lines
honest imp
ya so I think probably the more general awsner would be that yes the 2 sides would be parallel
faint flame
connecting after an infinite distance but the distance between the two lines doe...
There is no such thing as “after an infinite distance”
sweet iron
faint flame
You could take limits of terms in triangle inequalities and stuff but you can’t really have an angle “at infinity”
honest imp
You could take limits of terms in triangle inequalities and stuff but you can’t ...
the angel at infinity would approch 0 right?
honest imp
There is no such thing as “after an infinite distance”
you can define "after an infinite distance"
or like theres some example but i probably couldnt rigoursly define
like an example that might be revelent is from the graph y = 1/x , from the left the y values goes down forever to negative infinity and " after an infinite distance" the graph then comes from the top, postive infinity then comes back down to 0
dire shadow
No.....they won't be parallel maybe