   Chapter 11.CT, Problem 19CT 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

Use the Law of Sines or the Law of Cosines to find length x to the nearest whole number. To determine

To find:

The length x to the nearest whole number by using the Law of Sines or the Law of Cosines.

Explanation

Given:

The diagram as below.

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:

From the diagram given,

Let a=x, b=8, c=12 A=650, and α be the angle opposite to a

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