Understanding the Law of Cosines

What is the significance of the step angle in the Brosaurus dinosaur's walking efficiency?

• It shows how efficiently the dinosaur walked.

• It indicates the dinosaur's age.

• It reveals the dinosaur's diet.

• It determines the dinosaur's speed.

When should you use the Law of Cosines instead of the Law of Sines?

• When you have one angle and two sides.

• When you have three angles.

• When you have side-angle-side or side-side-side information.

• When you have two angles and a side.

What is the formula for finding the cosine of angle B in a triangle using the Law of Cosines?

• cos(B) = (a^2 + b^2 - c^2) / (2ab)

• cos(B) = (a^2 + c^2 - b^2) / (2ac)

• cos(B) = (b^2 + a^2 - c^2) / (2ac)

• cos(B) = (b^2 + c^2 - a^2) / (2bc)

How do you find the measure of angle B after calculating its cosine using the Law of Cosines?

• Use the tangent function.

• Use the sine function.

• Use the inverse sine function.

• Use the inverse cosine function.

What is the next step after finding the squared value of a side length using the Law of Cosines?

• Subtract the squared value from the other side lengths.

• Multiply the squared value by two.

• Take the square root of the squared value.

• Add the squared value to the other side lengths.

In the example, what is the calculated side length 'a' rounded to the nearest tenth?

• 5.5

• 4.0

• 5.0

• 4.5

What is the first step in solving a triangle using both the Law of Cosines and the Law of Sines?

• Find the largest angle.

• Calculate the smallest side.

• Use the Law of Sines to find an angle.

• Determine one side length using the Law of Cosines.

After finding two angles in a triangle, how do you determine the third angle?

• Add the two angles and subtract from 360°.

• Add the two angles and subtract from 180°.

• Multiply the two angles.

• Divide the sum of the two angles by 2.

What is the measure of angle C in the final example?

• 91.7 degrees

• 68.8 degrees

• 45.2 degrees

• 66 degrees

What is the importance of writing all answers in one place when solving a triangle?

• To check for calculation errors.

• To avoid using the wrong formulas.

• To make the solution look neat.

• To ensure the grader can easily follow your work.