Question

Which of the following problem types can always be solved using the law of cosines or sines? Check all that apply.

Answer 1

Answer with explanation:

Law of cosines

b²=c²+a²-2 ac cos B

c²=a²+ b² -2 ab cos C

a²=b²+c²-2 b c cos A

Law of sine

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

1. SSS= When all the three sides are given with the help of cosine Law, you can obtain other three angles.

2. AAA: You can find the ratio of sides of triangle but not exactly side lengths.

3. A SA : When two angles and one side is given, with the help of sine law , you can find other dimension of triangle.

4. S AA: When two angles and one side is given, with the help of sine law , you can find other dimension of triangle.

5. SSA= When two sides and one angle is given,with the help of sine law ,you can find other Dimension of triangle.

6. S AS:You can find the ratio of sides and angles of triangle but not exactly side lengths.

The problem which can be solved with the help of law of sine or cosine

 A: SSS, C: A SA, D: S AA : E: SSA

Answer 2

SAA, SAS, SSS, and ASA should be the correct answers-