Geometry the law of sines

[rachelmaddie]

I applied the law of sines using AAS and SSA but I don’t understand how to apply that to these questions.

 

[Deleted member 4993]

I applied the law of sines using AAS and SSA but I don’t understand how to apply that to these questions.

For #1, First calculate [a/sin(A)] - then calculate angle B from there .... and continue....

 

[rachelmaddie]

For #1, First calculate [a/sin(A)] - then calculate angle B from there .... and continue....

I don’t understand a/sin(A)

 

[Deleted member 4993]

I don’t understand a/sin(A)

Can you please state the law of sines of a triangle?

For a quick review - please go to:

https://www.mathsisfun.com/algebra/trig-sine-law.html

 

[Aliabla]

Can you please state the law of sines of a triangle?

For a quick review - please go to:

https://www.mathsisfun.com/algebra/trig-sine-law.html

Some of the examples on that site look similar to your problem!

 

[rachelmaddie]

Can you please state the law of sines of a triangle?

For a quick review - please go to:

https://www.mathsisfun.com/algebra/trig-sine-law.html

So, 8.2/sin56?

 

[Deleted member 4993]

So, 8.2/sin56?

Yes....
8.2/sin(56^o) = ? Calculate....

 

[rachelmaddie]

Yes....
8.2/sin(56^o) = ? Calculate....

= 9.89098717773

 

[Deleted member 4993]

= 9.89098717773

How is this value related to sin(B)?

 

[rachelmaddie]

How is this value related to sin(B)?

a/sin A = b/sin B = c/sin C

 

[Deleted member 4993]

a/sin A = b/sin B = c/sin C

Correct....

Then

sin(B) = b * [sin(A)/a]

Calculate sin(B) then calculate B.

What else do you need to calculate?

 

[rachelmaddie]

6.1 • sin56/8.1?

 

[Aliabla]

I haven't labeled my angles or sides such as yours but it's still correct.

 

[rachelmaddie]

I haven't labeled my angles or sides such as yours but it's still correct.

View attachment 13892

I don’t understand this

 

[rachelmaddie]

which part don't you understand?

I was still doing 6.1 • sin56/8.1

 

[rachelmaddie]

I was still doing 6.1 • sin56/8.1

Am I suppose to find the missing measures?

 

[Aliabla]

Am I suppose to find the missing measures?

Firstly you've already found the missing side length you need to find the angles. I solved the angles differently to you, it doesn't mean my way is right do your way and if you get the right answer that's good!!

 

[rachelmaddie]

I just realized that I’m suppose to apply the law of sine and the law of cosine. Is that correct?

 

[rachelmaddie]

Here is my work.

 

[Aliabla]

Here is my work.View attachment 13893

As in my post #13 you've got the correct end results!