Applying the law of sines with two acute angles

The video tutorial explains how to find all side lengths and angles of a triangle when it is not a right triangle. It introduces the law of sines and demonstrates how to apply it by setting up ratios and using cross multiplication. The tutorial emphasizes the importance of not rounding intermediate calculations to ensure accuracy. The process is illustrated with examples, solving for unknown sides B and A using given angles and side lengths.

What is the main challenge when dealing with a non-right triangle in this problem?

• We cannot use the Pythagorean theorem.

• We cannot use the Law of Cosines.

• We cannot use the sum of angles.

• We cannot use the Law of Sines.

What is the sum of all angles in a triangle?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

Which mathematical operation is used to solve proportions in this context?

• Subtraction

• Addition

• Division

• Cross multiplication

Why is it important not to round intermediate calculations when using the Law of Sines?

• It is required by the calculator.

• It simplifies the process.

• It ensures accuracy in the final result.

• It makes the calculations easier.

What is the calculated length of side B after applying the Law of Sines?

• 9.11

• 8.4

• 10.5

• 7.8

What is the final calculated length of side A?

• 3.67

• 2.54

• 4.89

• 5.12

What is the purpose of using the Law of Sines in this problem?

• To calculate the perimeter of the triangle.

• To find the area of the triangle.

• To find the missing side lengths and angles.

• To determine the type of triangle.