How to use law of sines for SSA with one solution

The video tutorial explains how to solve a triangle problem using the law of sines, focusing on the ambiguous case of side-side-angle. The instructor guides through drawing a rough sketch, calculating angle B, and exploring multiple solutions. The tutorial concludes by finalizing the triangle dimensions and verifying the solution.

What is the initial angle given in the problem setup?

• 30 degrees

• 42 degrees

• 90 degrees

• 60 degrees

What is the ambiguous case in triangle problems?

• A case where the triangle is always right-angled

• A case where no solution exists

• A case where multiple solutions or no solution may exist

• A case where only one solution exists

Which law is used to solve for the sine of angle B?

• Law of Tangents

• Pythagorean Theorem

• Law of Cosines

• Law of Sines

What is the calculated angle B using the inverse sine function?

• 21.4 degrees

• 42 degrees

• 158.59 degrees

• 90 degrees

Why might there be two possible angles for B?

• Due to the cosine function

• Because the triangle is right-angled

• Because the triangle is equilateral

• Due to the nature of the sine function having the same value for two different angles

What is the reference angle used to find the second possible angle for B?

• 180 degrees

• 158.59 degrees

• 42 degrees

• 21.4 degrees

What is the final angle C calculated in the triangle?

• 116.59 degrees

• 90 degrees

• 42 degrees

• 21.4 degrees

What is the length of side C after solving the triangle?

• 42

• 29.40

• 22

• 12

What is the significance of checking if the sum of angles exceeds 180 degrees?

• To confirm the triangle is valid

• To verify the triangle inequality theorem

• To ensure the triangle is right-angled

• To check if the triangle is equilateral

What is the main concept discussed in the final section of the video?

• Understanding the Pythagorean Theorem

• Finalizing the triangle solution using the Law of Sines

• Exploring the properties of equilateral triangles

• Calculating the area of the triangle