Question

Using the triangle below, answer the following questions.

1. Would you use Law of Sines or Law of Cosines to find the missing measures.

2. Write out the formula for the Law used.

3. Explain in detail why you would use the chosen Law.

Answer 1

Explanation:

Answer(1):

Law of Cosines.

Answer(2):

since side "c" is missing so we will write formula used for side "c"

`c^2=a^2+b^2-2ab\cdot\cos\left(C\right)`

Answer(3):

First lets write both sine and cosine formulas:

Check the attached picture for the list of formulas:

From given picture we see that two angles A and B are missing. Also 1 side "c" is missing.

Sine formula uses two angles while cosine formula uses only one angles.

Hence cosine formula will be best choice to find the missing values.