Find the missing measures, law of cosines then law of sines

The video tutorial guides students through solving a triangle problem by using the law of cosines and sines. It emphasizes the importance of solving for the largest angle first to avoid errors and demonstrates how to use inverse functions to find angles. The tutorial also covers the process of calculating the remaining angles and addresses common mistakes in rounding and calculator usage.

What is the first step in solving a triangle problem when all three sides are known?

• Solve for the largest angle using the law of cosines

• Use the law of sines

• Calculate the area of the triangle

• Draw the triangle accurately

Why is it recommended to solve for the largest angle first in a triangle?

• It ensures the triangle is drawn correctly

• It helps avoid the ambiguous case

• It is the easiest angle to find

• It simplifies the calculations

When using the law of cosines, what should you do after finding the cosine of an angle?

• Use the inverse cosine function

• Multiply by the side lengths

• Use the sine function

• Add the angles together

What is the importance of using the inverse cosine function in this context?

• To convert radians to degrees

• To check for calculation errors

• To find the side lengths

• To determine the actual angle from its cosine value

How should you handle rounded values when calculating angles in a triangle?

• Round to the nearest tenth

• Do not round at all

• Only round the final answer

• Round each step as you go

What is the next step after finding the largest angle in a triangle using the law of cosines?

• Check the side lengths

• Calculate the area of the triangle

• Use the law of sines to find another angle

• Re-draw the triangle

Why is it unnecessary to worry about the ambiguous case after finding the largest angle?

• The largest angle is always 90 degrees

• The largest angle ensures no other obtuse angles exist

• The largest angle determines the triangle type

• The largest angle is always acute