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Law of Cosines and Triangle Properties

Law of Cosines and Triangle Properties

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers section 6.2 of chapter 6, focusing on the law of cosines and its application in solving oblique triangles. It includes examples of solving triangles, a real-world problem involving a softball game, and a navigation problem with a ship. The tutorial also explains Heron's area formula for calculating the area of triangles. The session concludes with a practice problem for students to solve.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of Section 6.2 in Chapter 6?

Trigonometric Identities

Pythagorean Theorem

Law of Cosines

Law of Sines

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which type of triangles does the Law of Cosines help to solve?

Right triangles

Isosceles triangles

Equilateral triangles

Oblique triangles

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the Law of Cosines?

a^2 = b^2 + c^2 + 2bc * cos(A)

a^2 = b^2 + c^2 - 2bc * sin(A)

a^2 = b^2 - c^2 - 2bc * cos(A)

a^2 = b^2 + c^2 - 2bc * cos(A)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find an angle using the Law of Cosines?

By using the tangent function

By using the inverse sine function

By using the sine function

By using the inverse cosine function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 1, why can't the Law of Sines be used initially?

Because no side lengths are given

Because all angles are given

Because all side lengths are equal

Because no angles are given

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for angle C in Example 1?

Use the Pythagorean Theorem

Use the Law of Sines

Find the shortest side

Find the longest side

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 2, what is the given angle used for?

To find the remaining sides

To find the area of the triangle

To find the perimeter of the triangle

To find the height of the triangle

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