How to apply the law of sines to find the remaining parts of a triangle

The video tutorial explains how to solve a triangle problem using the Law of Sines. It begins with an introduction to the problem and the conditions under which the Law of Sines can be applied. The tutorial then demonstrates how to apply the Law of Sines to find missing side lengths and angles, using proportions and calculations. The lesson concludes with a summary and encouragement for students to practice solving similar problems.

What is the primary mathematical tool introduced to solve for the unknowns in the triangle?

• Trigonometric Identities

• Law of Cosines

• Law of Sines

• Pythagorean Theorem

Which of the following is a condition where the Law of Sines can be applied?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

What is the ambiguous case mentioned that will be discussed in the next class?

• Side-Side-Angle (SSA)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

How do you solve for a missing side length using the Law of Sines?

• Set up a proportion and cross-multiply

• Use the Pythagorean theorem

• Use trigonometric identities

• Apply the Law of Cosines

What is the calculated length of side B in the triangle?

• 12.8558

• 13.3096

• 11.8762

• 14.5000

How can you find the missing angle in a triangle if two angles are known?

• Use the Law of Cosines

• Subtract the sum of the known angles from 180 degrees

• Use the Pythagorean theorem

• Divide the known angles by 2

What is the final calculated value of side A in the triangle?

• 14.0000

• 11.8762

• 13.3096

• 12.8558