Chapter 8, Problem 9SGR

To determine

State whether the given statement is true or false.

Answer to Problem 9SGR

False

Explanation of Solution

Given :

The Law of Sines can be used to find an angle measure when given three side lengths.

Calculation:

Law of Cosine:

$b^2=a^2+c^2-2ac\cos B$

Law of Sine:

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

So, if the three sides are known , first , we have to use the Law of Cosine to determine one angle and then we can use the Law of Sines to find other two angles.

Hence , the statement is false.

The correct statement is :

The Law of Cosines can be used to find an angle measure when given three side lengths.