🧵 Advanced Triangle
Anonymous at Sun, 24 Mar 2024 14:48:56 UTC No. 16094307
A maid has a horizontal line and a vertical line which are perpendicular. Then the maid gets another line which crosses them both and makes a right triangle.
So bottom left corner of triangle is where horizontal and vertical line cross. Bottom right corner is where diagonal line and horizontal line cross. Top corner is where diagonal line and vertical line cross.
So triangle internally has to have 180 degrees. Bottom left corner is made from perpendicular lines, so it is a 90 degree angle.
So angle at bottom right corner and angle at top corner have to sum to 90.
So, now imagine bottom right corners angle starts increasing. Getting closer and closer to 90. Top corner gets smaller and smaller and the triangle gets taller and taller.
So now, what happens as the bottom right goes to 90?
Are parallel lines which get intersected by a line which is perpendicular to them actually a triangle, but the top corner is infinitely far away?
What happens to the line crossing?
Anonymous at Sun, 24 Mar 2024 14:53:11 UTC No. 16094314
Stop spamming, stay in your containment thread.
Anonymous at Sun, 24 Mar 2024 14:56:58 UTC No. 16094318
>>16094314
There are only four maid threads and it is all the questions I have right now.
Anonymous at Sun, 24 Mar 2024 15:05:09 UTC No. 16094326
>>16094307
>Are parallel lines which get intersected by a line which is perpendicular to them actually a triangle, but the top corner is infinitely far away?
Basically yes this can be seen using projective geometry (see picrelated), although it's not usually derived using angles the way you've described (I recommend Stillwell's book "The Four Pillars of Geometry" to get a better understanding of the foundations).