How to use the law of sines when given two angles and one side

The video tutorial explains how to solve a triangle problem using the law of sines. It begins with setting up the problem and understanding the law of sines. The instructor then calculates the missing angle using the given angles and applies the law of sines to find the side lengths. The tutorial concludes with final calculations and verification of the results, ensuring the angles add up to 180 degrees and the side lengths make sense.

What is the first step in solving a triangle problem using the Law of Sines?

• Convert angles to radians

• Calculate the area of the triangle

• Identify the given angles and sides

• Draw a circle

What is necessary to apply the Law of Sines?

• All three side lengths

• The area of the triangle

• The perimeter of the triangle

• An angle and its opposing side

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

• Subtract the two known angles from 360

• Multiply the two known angles

• Add the two known angles and subtract from 180

• Divide the two known angles

What is the sum of angles in a triangle?

• 90 degrees

• 270 degrees

• 180 degrees

• 360 degrees

What mathematical operation is used to solve for unknown sides using the Law of Sines?

• Division

• Addition

• Subtraction

• Cross-multiplication

When using a calculator to solve for side lengths, what should you ensure?

• The calculator is in degree mode

• The calculator is in radian mode

• The calculator is in scientific mode

• The calculator is in standard mode

Why is it important to check if the calculated side lengths make sense?

• To ensure the triangle is equilateral

• To make sure the triangle is right-angled

• To verify the largest angle corresponds to the largest side

• To confirm the triangle is isosceles