   Chapter 11.4, Problem 9E 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

For Δ A B C (not shown), suppose you know that a = 3 ,   b = 4 ,  and  c = 5 .a) Explain why you do not need to apply the Law of Sines or the Law of Cosines to find the measure of γ .b) Find γ .

To determine

a.

To explain:

Why we do not need to apply Law of Sines or Law of Cosines to find the measure of γ.

Explanation

Law of Sines: This law can be used to find a missing angle if an angle and two sides are given, or for it is useful for finding a missing side when given two angles and one side.

Law of Cosines: This law can be used to find an unknown measures in a triangle when given all side lengths.

We have given,

For ΔABC

a=3, b=4, and c=5

Here, the three sides (3,4,5) of the triangle ABC is a Pythagorean Triple

To determine

b.

To Find:

The measure of γ with the sides of the triangle a=3, b=4, and c=5

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