Find the missing sides of a triangle using the law of sines

The video tutorial explains how to use the law of sines to solve for unknown sides and angles in a triangle. It begins with an introduction to ratios and the law of sines, followed by a step-by-step calculation of side B using given angles and side lengths. The tutorial then demonstrates how to find angle A using the properties of triangles. Finally, it shows how to solve for side A using the same ratio method. The video emphasizes the importance of using the correct mode on a calculator and provides detailed instructions for each calculation step.

What is the first step in solving for side B using the Law of Sines?

• Multiply both sides by the sine of angle C

• Use the cosine rule to find side B

• Set up a ratio with side lengths on top and angles on the bottom

• Find the sum of all angles in the triangle

Which mode should your calculator be in when solving trigonometric problems involving degrees?

• Graphing mode

• Scientific mode

• Radian mode

• Degree mode

How do you find angle A in a triangle when given two other angles?

• Add the two given angles and subtract from 180 degrees

• Multiply the two given angles

• Divide the two given angles

• Subtract the two given angles from 90 degrees

What is the importance of using the same ratio throughout the problem-solving process?

• It ensures consistency and accuracy in calculations

• It allows for the use of the cosine rule

• It is necessary for finding the area of the triangle

• It helps in finding the perimeter of the triangle

What is the calculated value of side A using the Law of Sines?

• 45.000

• 17.000

• 13.880

• 5.081