Taxicab General Triangle
- Dr. Jack L. Jackson II
General Triangle in Taxicab Geometry
Since line segments in Taxicab Geometry are the same as Euclidean line segments, Taxicab triangles are Euclidean triangles. Furthermore, angles are measured the same in Taxicab Geometry and Euclidean Geometry, so the angle sum is the same (pi) in both geometries. However, distances are measured differently in Taxicab and Euclidean Geometries. Is the longest side of a triangle always opposite the largest angle in Taxicab Geometry? Is the shortest side of a triangle always opposite the smallest angle in Taxicab Geometry?