How to use the law of sines for SSA to solve missing parts of One triangle

The video tutorial covers the application of the law of sines to solve triangles, focusing on visualizing triangles and understanding the ambiguous case of side-side-angle (SSA) configurations. The instructor guides through solving for missing side lengths and angles, emphasizing the importance of checking for possible ambiguous cases. The tutorial concludes with final calculations and a summary of the concepts discussed.

What is the first step recommended by the teacher to solve the triangle problem?

• Memorize the Law of Sines.

• Use a calculator to find the side lengths.

• Draw a triangle to visualize the problem.

• Calculate the angles directly.

Which mathematical rule is primarily used in this lesson to solve for missing side lengths?

• Trigonometric Identities

• Pythagorean Theorem

• Law of Cosines

• Law of Sines

What is the significance of the side-side-angle case in trigonometry?

• It always results in a right triangle.

• It is used to find the area of a triangle.

• It can lead to an ambiguous case with no or two possible triangles.

• It simplifies to a single solution.

How do you determine if there is an ambiguous case when given side-side-angle?

• By checking if the sum of angles is 180 degrees.

• By calculating the sine of the given angle.

• By comparing the calculated angle with 180 degrees minus the given angle.

• By using the cosine rule.

What is the calculated value of angle B in the problem?

• 32 degrees

• 128 degrees

• 160 degrees

• 20 degrees

Why is it important to use the original angle values rather than the rounded ones in final calculations?

• To ensure the calculations are faster.

• To use a different mathematical rule.

• To avoid errors due to approximation.

• To make the problem easier to solve.

What should the longest side of a triangle correspond to?

• The smallest angle

• The largest angle

• Any angle

• The middle angle