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

The video tutorial guides viewers through solving a triangle problem by setting up a triangle with given angles and a side, creating proportions to find unknown sides, and using trigonometric ratios and the law of sines. It emphasizes the importance of keeping unknowns in the numerator and using precise calculations to avoid errors. The tutorial also covers the angle sum theorem to determine missing angles.

What is the first step in solving for an unknown side in a triangle when given two angles and one side?

• Use the Pythagorean theorem

• Directly calculate using trigonometric identities

• Guess the value based on the given information

• Create a proportion with the known angle and side

Why is it important to have the unknown in the numerator when setting up a proportion?

• It is a requirement of the sine rule

• It helps in guessing the answer

• It simplifies the calculation process

• It makes the equation more complex

How do you find the third angle in a triangle if two angles are known?

• Add the known angles and divide by 2

• Use the sine rule

• Use the cosine rule

• Subtract the sum of the known angles from 180 degrees

When calculating a new side using the sine rule, why should you avoid using a rounded answer from a previous calculation?

• It makes the calculation easier

• It is required by the sine rule

• It is faster to use rounded numbers

• It can lead to significant errors

What is the correct formula to calculate side 'c' using the sine rule?

• c = (3.7 * sin(75)) / sin(45)

• c = (3.7 * sin(45)) / sin(60)

• c = (3.7 * sin(45)) / sin(75)

• c = (3.7 * sin(60)) / sin(45)