For each set of three angle measures of a triangle given, does the triangle exist in Euclidean geometry, spherical geometry, or neither? 3. 79°, 45°, 45° 4. 33%, 87°, 60° 6. 21°, 121°, 221° 9. 30°, 60°, 90° 7. 30°, 40, 50° 10. 70°, 111°, 68° 5. 100°, 100°, 100⁰ SG 8. 100°, 40°, 40° 11. 100°, 80°, 80°
For each set of three angle measures of a triangle given, does the triangle exist in Euclidean geometry, spherical geometry, or neither? 3. 79°, 45°, 45° 4. 33%, 87°, 60° 6. 21°, 121°, 221° 9. 30°, 60°, 90° 7. 30°, 40, 50° 10. 70°, 111°, 68° 5. 100°, 100°, 100⁰ SG 8. 100°, 40°, 40° 11. 100°, 80°, 80°
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 21CT
Related questions
Question
Please provide the steps and answer to Question 10.
![equals 180°. This is proved by the Euclidean Geometry Trangre Angie o
Theorem.
Problem
An airline is mapping routes for its international flights. One route leaves from
Raleigh-Durham International Airport in the United States, travels to Heathrow
Airport in London, then to Alexandria International Airport in Egypt, and finally
returns to Raleigh-Durham. This trip forms a triangular route. Is this triangle
Euclidean, spherical, or neither?
Spherical; since the path of the airplane is curved, the angles formed will also be curved,
and since the earth can be considered a sphere, the triangle is spherical.
Exercises
For each set of three angle measures of a triangle given, does the triangle exist in Euclidean
geometry, spherical geometry, or neither?
3. 79°, 45°, 45°
4. 33°, 87°, 60°
6. 21°, 121°, 221°
9. 30°, 60°, 90°
7. 30°, 40°, 50°
10. 70°, 111°, 68°
5. 100°, 100°, 100°
8. 100°, 40°, 40°
×
11. 100°, 80°, 80°
12. Are lines of latitude examples of great circles? Are lines of longitude examples of great circ
Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1d92f0d-82c0-418e-987c-42d0243d1437%2F8c4482e7-c70e-486c-88b4-64c55729a5ea%2F16ai27_processed.jpeg&w=3840&q=75)
Transcribed Image Text:equals 180°. This is proved by the Euclidean Geometry Trangre Angie o
Theorem.
Problem
An airline is mapping routes for its international flights. One route leaves from
Raleigh-Durham International Airport in the United States, travels to Heathrow
Airport in London, then to Alexandria International Airport in Egypt, and finally
returns to Raleigh-Durham. This trip forms a triangular route. Is this triangle
Euclidean, spherical, or neither?
Spherical; since the path of the airplane is curved, the angles formed will also be curved,
and since the earth can be considered a sphere, the triangle is spherical.
Exercises
For each set of three angle measures of a triangle given, does the triangle exist in Euclidean
geometry, spherical geometry, or neither?
3. 79°, 45°, 45°
4. 33°, 87°, 60°
6. 21°, 121°, 221°
9. 30°, 60°, 90°
7. 30°, 40°, 50°
10. 70°, 111°, 68°
5. 100°, 100°, 100°
8. 100°, 40°, 40°
×
11. 100°, 80°, 80°
12. Are lines of latitude examples of great circles? Are lines of longitude examples of great circ
Explain.
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