Scholar Sauce | Triangles - Smash Study Trigonometry #2 @scholarsauce | Uploaded November 2022 | Updated October 2024, 1 hour ago.
Triangles are amazing shapes and tell us a lot about how geometry works. They are also the fundamental object of trigonometry, a word which literally means "triangle measurement". In this episode, we learn several important facts about the geometry of triangles that we will need as build and study trigonometry including one theorem that is absolutely essential in being able to define the six trigonometric functions.
This is the second episode in my series on Trigonometry. Come have a ton of fun with me as we continue to learn about this amazing branch of mathematics.
Photos/Illustrations Used:
Figure 18: Measuring Difference in Height by Vertical Angles
Source: https://www.icsm.gov.au/education/fundamentals-mapping/surveying-mapping/surveying-heights
A Southern Pacific Railroad bridge
Author: Leonard G
Source: Wikimedia Commons
License: Public Domain
Free Body Diagram 3
Author: Penubag
Source: Wikimedia Commons
Detroit Map
Source: Google Maps
Video Clip Used:
Playing Triangle
Source: Frasier S07E13 They're Playing Our Song
License: Claim Fair Use (Clip is 1 sec long and commented on)
Music Used:
Rainbow Forest
Artist: Quincas Moreira
Pas de Deux
Artist: Bird Creek
Most triangle animations created using Geogebra
Triangles and lines work differently in non-flat geometries. The Scholar Sauce videos discussing these differences that were mentioned in this video are
A Line is NOT the Shortest Distance Between Two Points?
youtu.be/CJglsHNGksc
The Angle Sum of a Triangle is NOT 180 degrees?
youtu.be/UgG4Y8ZhgRw
Triangles are amazing shapes and tell us a lot about how geometry works. They are also the fundamental object of trigonometry, a word which literally means "triangle measurement". In this episode, we learn several important facts about the geometry of triangles that we will need as build and study trigonometry including one theorem that is absolutely essential in being able to define the six trigonometric functions.
This is the second episode in my series on Trigonometry. Come have a ton of fun with me as we continue to learn about this amazing branch of mathematics.
Photos/Illustrations Used:
Figure 18: Measuring Difference in Height by Vertical Angles
Source: https://www.icsm.gov.au/education/fundamentals-mapping/surveying-mapping/surveying-heights
A Southern Pacific Railroad bridge
Author: Leonard G
Source: Wikimedia Commons
License: Public Domain
Free Body Diagram 3
Author: Penubag
Source: Wikimedia Commons
Detroit Map
Source: Google Maps
Video Clip Used:
Playing Triangle
Source: Frasier S07E13 They're Playing Our Song
License: Claim Fair Use (Clip is 1 sec long and commented on)
Music Used:
Rainbow Forest
Artist: Quincas Moreira
Pas de Deux
Artist: Bird Creek
Most triangle animations created using Geogebra
Triangles and lines work differently in non-flat geometries. The Scholar Sauce videos discussing these differences that were mentioned in this video are
A Line is NOT the Shortest Distance Between Two Points?
youtu.be/CJglsHNGksc
The Angle Sum of a Triangle is NOT 180 degrees?
youtu.be/UgG4Y8ZhgRw
