Prentice Hall Algebra 2

14-5 The Law of Cosines

Objective

To use the Law of Cosines in finding the measures of sides and angles of a triangle

A solve it problem.
Image Long Description

The measures of all three sides (SSS) or the measures of two sides and the included angle (SAS) determine a triangle. The Law of Sines does not enable you to solve such a triangle, but the Law of Cosines does.

Essential Understanding If you know the measures of enough parts of a triangle to completely determine the triangle, you can solve the triangle.

The Law of Cosines relates the length of a side of any triangle to the measure of the opposite angle.


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Table of Contents

Prentice Hall Algebra 2 Chapter 1 Expressions, Equations, and Inequalities Chapter 2 Functions, Equations, and Graphs Chapter 3 Linear Systems Chapter 4 Quadratic Functions and Equations Chapter 5 Polynomials and Polynomial Functions Chapter 6 Radical Functions and Rational Exponents Chapter 7 Exponential and Logarithmic Functions Chapter 8 Rational Functions Chapter 9 Sequences and Series Chapter 10 Quadratic Relations and Conic Sections Chapter 11 Probability and Statistics Chapter 12 Matrices Chapter 13 Periodic Functions and Trigonometry Chapter 14 Trigonometric Identities and Equations Skills Handbook English/Spanish Illustrated Glossary Selected Answers Index Acknowledgments