Master Solving for the missing parts of a triangle using the law of cosines SSS

The video tutorial explains how to find missing parts of a triangle using the law of cosines. It covers identifying the largest angle, rewriting the law of cosines for different angles, and solving for angles step-by-step. The tutorial also demonstrates using the law of sines to find remaining angles, emphasizing the importance of avoiding the ambiguous case by identifying the obtuse angle first.

What is the first step in solving a triangle using the Law of Cosines when given three sides?

• Use the Law of Sines

• Calculate the perimeter of the triangle

• Visualize the triangle and identify the largest angle

• Identify the smallest angle

Why is it important to identify the largest angle first when using the Law of Cosines?

• To simplify the calculations

• To avoid the ambiguous case

• To ensure the triangle is equilateral

• To find the shortest side

How can you modify the Law of Cosines formula to solve for a specific angle?

• By adding all side lengths

• By using the Law of Sines

• By swapping the variables for sides and angles

• By calculating the area of the triangle

What is the result of calculating 9 squared in the context of the Law of Cosines?

• 72

• 45

• 81

• 36

After finding the largest angle using the Law of Cosines, what is the next step?

• Find the perimeter of the triangle

• Calculate the area of the triangle

• Use the Law of Sines to find another angle

• Recalculate the largest angle

What is the approximate value of angle B after using the Law of Cosines?

• 45 degrees

• 127 degrees

• 90 degrees

• 60 degrees

What is the final step in solving the triangle after using the Law of Sines?

• Verify the angles add up to 180 degrees

• Calculate the area of the triangle

• Check if the triangle is isosceles

• Find the longest side