Is a "triangle" with two right angles still a degenerate triangle? A point is an example of a degen

Sonia Gay

Sonia Gay

Answered question

2022-06-18

Is a "triangle" with two right angles still a degenerate triangle?
A point is an example of a degenerate triangle.
In 2D, euclidean, flat space. Can the term "degenerate triangle" also describe a triangle with two right angles, an angle of 0° degrees, one side of a finite non-zero length, and two sides of infinite length?
The 0 degrees angle would be positioned on a point discontinuity and so be in two places, both infinitely far from the other two vertexes.

Answer & Explanation

plodno8n

plodno8n

Beginner2022-06-19Added 17 answers

That depends on your definition of triangle and degenerate triangle. If we say that a triangle (degenerate or not) is the convex envelope of three distinct points in the plane, then your region is not a degenerate triangle, but obviously the situation is different if we define a triangle as the intersection of three distinct half-planes.
Roland Manning

Roland Manning

Beginner2022-06-20Added 5 answers

First off, there are only two right angles

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