   Chapter 11.CT, Problem 17CT Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

On the basis of the drawing provided, complete this form Of the Law of Cosines. a 2 = _________ To determine

To complete:

The law of cosine using the drawing given.

Explanation

Given:

The Law of cosines.

Theorem:

In any acute triangle ABC,

c2=a2+b2-2ab cos γ

b2=a2+c2-2ac cos β

a2=b2+c2-2bc cos α, which is called the Law of Cosines.

Calculation:

In the below diagram, BC=a, CA=b, and AB=c.

Let BD=n, CD=m, then AD=b-m

In right triangle BDC, m2+n2=a2

m2=a2-n2

In right triangle ABD, b-m2+n2=c2

b2-2bm+m2+n2=c2

Substituting m2=a2-

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Explain what happens during each of the two stages of the two-factor ANOVA.

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

4. Evaluate the following. (a) (b) (c)

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 7-22, evaluate the expression. 22. 62.561.961.4

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Evaluate the integral. 11x100dx

Single Variable Calculus: Early Transcendentals

Write in cylindrical coordinates, where E is the solid at the right.

Study Guide for Stewart's Multivariable Calculus, 8th

limx0sin5x3x=. a) 1 b) 53 c) 35 d) 0

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 