Law of Cosines SSS

The video tutorial explains how to solve a triangle using the law of cosines and the law of sines. It begins with setting up a triangle and identifying its sides and angles. The instructor demonstrates the application of the law of cosines to find missing angles and discusses potential errors in calculations. The tutorial also covers the law of sines, highlighting the ambiguous case and how to handle it. The session concludes with final calculations and a summary of the process.

What are the given side lengths of the triangle in the problem setup?

• A = 50, B = 22, C = 63

• A = 63, B = 50, C = 22

• A = 63, B = 22, C = 50

• A = 22, B = 63, C = 50

Which formula is used to find the cosine of angle A?

• cos(A) = (b^2 + c^2 - a^2) / (2bc)

• cos(A) = (a^2 + c^2 - b^2) / (2bc)

• cos(A) = (a^2 + b^2 - c^2) / (2ab)

• cos(A) = (b^2 + c^2 - a^2) / (2ac)

Why is it important to find the largest angle first when using the Law of Sines?

• To simplify the calculations

• To prevent the ambiguous case

• To ensure the triangle is drawn correctly

• To avoid calculation errors

What is the result of the calculation for angle A using the Law of Cosines?

• A = 22 degrees

• A = 63 degrees

• A = 117 degrees

• A = 45 degrees

What is the main issue with using the sine inverse function on a calculator?

• It is not accurate for large angles

• It only provides the acute angle

• It can give multiple angles

• It only provides the obtuse angle

What is the calculated value of angle C using the Law of Sines?

• C = 22 degrees

• C = 63 degrees

• C = 50 degrees

• C = 45 degrees

How do you find angle B after calculating angles A and C?

• Subtract the sum of angles A and C from 180

• Use the Law of Sines

• Add angles A and C

• Use the Law of Cosines again

What is the final calculated value of angle B?

• B = 45 degrees

• B = 22 degrees

• B = 18 degrees

• B = 63 degrees

What is the purpose of storing calculated angles as variables like alpha?

• To check for errors

• To avoid using the calculator

• To simplify the process

• To ensure precision in further calculations

What should the sum of angles A, B, and C be in a triangle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees