How to use the law of sines to find the missing measurements of a triangle

The video tutorial explains how to solve a non-right triangle problem using the law of sines. It begins by identifying that the triangle is not a right triangle, thus requiring the use of the law of sines or cosines. The tutorial demonstrates how to find the length of side B using the law of sines and cross multiplication. It then calculates angle A using the sum of angles in a triangle. Finally, it uses the law of sines again to find side A and verifies the results for reasonableness.

Why can't the Pythagorean theorem be used in this problem?

• The triangle has an obtuse angle.

• The triangle is not a right triangle.

• The triangle is equilateral.

• The triangle is isosceles.

What is the first step in using the Law of Sines to find side B?

• Cross-multiply the given ratios.

• Find the missing angle.

• Use the Pythagorean theorem.

• Calculate the area of the triangle.

What is the importance of closing parentheses when using a calculator for trigonometric calculations?

• To save the calculation for later use.

• To avoid syntax errors.

• To make the calculation faster.

• To ensure the correct order of operations.

How do you calculate angle A in the triangle?

• Add angles B and C.

• Divide the sum of angles B and C by 2.

• Use the Law of Cosines.

• Subtract the sum of angles B and C from 180 degrees.

Which angle was calculated to be 35 degrees?

• Angle A

• Angle B

• Angle C

• None of the above

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

• 35.00

• 20.00

• 13.31

• 11.88

What should be checked to ensure the side lengths are reasonable?

• The side lengths should not be excessively large or small.

• The side lengths should form a right triangle.

• The side lengths should be integers.

• The side lengths should be equal.