Solution Found!
According to four-dimensional geometry, the angles of a
Chapter 27, Problem 16MCP(choose chapter or problem)
Choose the best answer to each of the following:
According to four-dimensional geometry, the angles of a triangle add to \(180^{\circ}\)
(a) always.
(b) sometimes.
(c) never.
(d) on planet Earth only.
Questions & Answers
QUESTION:
Choose the best answer to each of the following:
According to four-dimensional geometry, the angles of a triangle add to \(180^{\circ}\)
(a) always.
(b) sometimes.
(c) never.
(d) on planet Earth only.
ANSWER:Step 1 of 2
In four-dimensional geometry, the Euclidean concept of spherical geometry of a line transforms into a great circle, or a circle with the greatest radius. Because minimal triangles will have angles summing to only a little more than 180 degrees, and larger triangles will have angles summing to considerably more than 180 degrees, it will not be true that the sum of angles of a triangle is always 180 degrees.