How to find the missing parts of a triangle SSA ambiguous case two triangles

The video tutorial explains how to solve a triangle problem using the law of sines. It begins with setting up the problem and calculating angle B. The instructor then checks for the ambiguous case, leading to two possible solutions for angle C. Each case is explored with detailed calculations, ensuring students understand the process of solving for unknown angles and sides in a triangle.

What is the first step in solving a triangle problem?

• Calculate all angles

• Use the Law of Cosines

• Draw a diagram

• Find the longest side

Which law is initially considered to find angle B?

• Law of Tangents

• Law of Cosines

• Law of Sines

• Law of Secants

What is the sine of 30 degrees?

• 0.707

• 0.866

• 0.5

• 1

What is the purpose of checking for the ambiguous case?

• To find the longest side

• To determine if there are two possible triangles

• To calculate the area

• To verify the angle sum

In the first case, what is the calculated angle C?

• 5.7 degrees

• 19.3 degrees

• 35.7 degrees

• 144.3 degrees

What is the length of side C in the first case?

• 11.32

• 6

• 7

• 10.9

In the second case, what is the calculated angle C?

• 5.7 degrees

• 144.3 degrees

• 35.7 degrees

• 19.3 degrees

What is the length of side C in the second case?

• 10.9

• 7

• 1.19

• 6

How do the two cases compare in terms of angle C?

• Second case has a larger angle C

• Both have the same angle C

• First case has a larger angle C

• Both have angle C less than 10 degrees

What is the final conclusion about the two solutions?

• Only one solution is valid

• Neither solution is valid

• The solutions are identical

• Both solutions are valid