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Khan Academy

Khan Academy: Solve Triangles Using the Law of Cosines

For Students 9th - 10th Standards
Solve missing triangle measures using the law of cosines. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Determination of Unknown Angles Using Law of Cosines

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Find an unknown angle of a side side side triangle using the Law of Cosines.
Unit Plan
Lawrence Hall of Science

The Math Page: Trigonometry: The Law of Cosines

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the law of cosines and how to use it. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who...
Handout
Wolfram Research

Wolfram Math World: Law of Cosines

For Students 9th - 10th Standards
This page from MathWorld.com gives a good explanation of the Law of Cosines, which relates the lengths of the legs of a triangle to the angles. This site shows how the formula is derived, along with a triangle to clarify variables. Also...
Handout
Wolfram Research

Wolfram Math World: Law of Sines

For Students 9th - 10th Standards
This MathWorld page gives a good explanation of the Law of Sines, which relates the lengths of the sides of a triangle to the sines of the opposite angles. This site gives a picture to help clarify the variables used in the equation....
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Law of Cosines

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Use Law of Cosines and Law of Sines in different triangle situations.
Unit Plan
CK-12 Foundation

Ck 12: Determination of Unknown Angles Using Law of Cosines

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers using the Law of Cosines to find an angle in a triangle.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Law of Sines and Law of Cosines

For Students 9th - 10th Standards
Sixteen problems present practice working with the Law of Sines and Law of Cosines. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
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McGraw Hill

Glencoe Mathematics: Online Study Tools: Self Check Quiz on Law of Cosines

For Students 9th - 10th Standards
The online assessment demonstrates knowledge of Algebra II. The questions test students on the law of cosines.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Sides of an Oblique Triangle

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers using the Law of Cosines to find the third side of a triangle.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Sides of an Oblique Triangle

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Find the side of an oblique triangle using the Law of Cosines.
Whiteboard
ClassFlow

Class Flow: The Law of Cosines

For Teachers 9th - 10th Standards
[Free Registration/Login Required] This flipchart defines and uses the law of cosines to find the missing sides and angles of oblique triangles.
Unit Plan
Wolfram Research

Wolfram Math World: Acute Triangle

For Students 9th - 10th Standards
This MathWorld site gives a short discussion on acute triangles with links to related terms and topics. The site offers a discussion on the least number of acute triangles to compose various polygons, and a discussion on the relationship...
eBook
Math Planet

Math Planet: Algebra 2: Cosines

For Students 9th - 10th Standards
Defines and explores the law of cosines through examples and a video lesson. [1:41]
Activity
University of Vienna (Austria)

Trigonometry: Law of Sines

For Students 9th - 10th Standards
This is demonstration of how the law of sines works. It uses Java applets to manipulate the triangle and allows the user to explore what happens to the values of the triangle as the sides are changed.
Primary
Windstream

Ojk's Precalculus Study Page: The Law of Cosines

For Students 9th - 10th Standards
An introduction to solving acute and obtuse triangles by using the law of cosines, including a derivation of the formula. Includes several pistures and examples.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: General Solutions of Triangles

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] A summary of when to use the law of cosines or the law of sines to solve triangles.
Activity
Analyze Math

Analyze Math: Cosine Law Problems

For Students 9th - 10th Standards
Here are four problems to solve using the Law of Cosines. Two are SSS problems; two are SAS problems. Two have detailed solutions; two have answers given only. Notice the link at the bottom that takes you to a Law of Cosines calculator -...
Activity
BBC

Bbc: Gcse Bitesize: Sine and Cosine Rules

For Students 9th - 10th Standards
BBC provides a three part lesson on solving triangles, by using the sine rule and cosine rule.
Lesson Plan
Oswego City School District

Regents Exam Prep Center: Working on a Rescue Team Lab

For Teachers 9th - 10th Standards
Your students are part of the Yellowstone National Park rescue team which has just been dispatched to help located a downed plane. How can they effectively use the Law of Sines and the Law of Cosines to assist them in finding the plane?...
Activity
Math Is Fun

Math Is Fun: Triangle Identities

For Students 9th - 10th Standards
View examples of triangle identities, equations that are true for all triangles: Law of Sines, Law of Cosines, and Law of Tangents. Follow links to learn more about the purpose and examples of each identity.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: To Pythagoras and Beyond

For Teachers 9th - 10th Standards
Based off of the hit television show NUMB3RS, this lesson has students discover the Pythagorean relationships of different triangle types. By the end of the lesson, students should be able to take three given side lengths and compute...
Activity
Other

Karl's Calculus Tutor: Trigonometric Functions

For Students 9th - 10th Standards
Great application of trig and introduction to the trig functions. Also found here are the Law of Sines and Law of Cosines as well as other trig topics to review.
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Trig Ratios

For Students 6th - 8th
Investigate the cosine, sine, and tangent ratios of trigonometry using this interactive Learn Alberta math resource. Students will use these ratios to determine a right triangle's unknown side or angle. Be sure to follow the link to the...

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