Chapter 5.5 – Law of Sines

Objectives (click/tap to expand)

- Identify congruence cases: AAS, ASA, SAS, SSS
- Identify similarity case: AAA
- Identify the potentially "ambiguous" case: SSA
- Determine the number of triangles in an ambiguous SSA case
- Use the Law of Sines to solve triangles
- Solve application problems

5-5 Law of Sines

Watch before Day #53 lesson

An introduction to the Law of Sines, which greatly extends our opportunities to use trigonometry.

Assessment on 5-1, 5-3, and 5-4

Day #54, no video

As pointed out plenty of times in class, info and resources for that assessment is at the bottom of the Chapter 5.4 page.

5-5 The Ambiguous Case pt. 1

Watch before Day #55 lesson

Your Geometry teacher taught you the virtues of SAS, SAA, ASA, and SSS. You were warned to stay away from SSA, the bad boy of the bunch. In this video we explore the "ambiguous" and the enigmatic world of SSA. For this lesson, you are invited to try out the related Geogebra construction.

I should note that the various formulas developed in the video apply for cases when the given angle measures less than 90°. I'll leave it for individual exploration and/or class discussion to determine the "rules" when this angle measures 90° or greater.

5-5 The Ambiguous Case pt. 2

Skipping this topic this year

In class we find out how to solve both triangles in the "ambiguous" SSA case. If you know you missed a few things the first time around, here's a detailed explanation.

Go to next page, Chapter 5.6.

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