Question

Would you use the Law of Sines or the law of cosines to solve a triangle if. given all three sides of the triangle?

a. the Law of Sines
b. the Law of Cosines​

Answer 1

Conditions for SINE RULE:

1. If two angles and any side is given.
2. If two sides and an angle opposite one of the side is given.

Conditions for COSINE RULE:

1. If two sides and an inclined angle is given.
2. If all the three sides are give.

Explanation:

Side is the number in m/cm.

Angle is the number with degree/in degree. Like this: ° ° °

With all these, it means you should COSINE rule.

Answer 2

b.
`\displaystyle Law\:of\:Cosines`

Explanation:

You would use this law under two conditions:

• One angle and two edges defined, while trying to solve for the third edge
• ALL three edges defined

Hence, you have your answer.

* Just make sure to use the inverse function towards the end, or elce you will throw your answer off!

_______________________________________________

Now, you would use the Law of Sines under three conditions:

• Two angles and one edge defined, while trying to solve for the second edge
• One angle and two edges defined, while trying to solve for the second angle
• ALL three angles defined [of which does not occur very often, but it all refers back to the first bullet]

* I HIGHLY suggest you keep note of all of this significant information. You will need it going into the future.

I am delighted to assist you at any time.