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Mathematics 18 Online
OpenStudy (anonymous):

Law of cosines

OpenStudy (anonymous):

A = 50°, b = 13, c = 6

OpenStudy (anonymous):

I got 10.2 ish for a

OpenStudy (anonymous):

But when I try to find C its out side of the domain

OpenStudy (anonymous):

Does this mean that no triangle can be made?

ganeshie8 (ganeshie8):

So you have A = 50, b = 13, c = 6, a=10.2

OpenStudy (anonymous):

What about C and B?

OpenStudy (anonymous):

Should I just use the law of sines?

OpenStudy (anonymous):

arcsin((13sin(50)/10.2))

OpenStudy (anonymous):

for B

ganeshie8 (ganeshie8):

|dw:1422536267540:dw|

ganeshie8 (ganeshie8):

You may use law of sines to find angle C

ganeshie8 (ganeshie8):

\[\large \dfrac{\sin (C)}{6} = \dfrac{\sin(50)}{10.2}\]

OpenStudy (anonymous):

B is 77.5 degrees, C is 22.5

OpenStudy (anonymous):

but 77.5 + 22.5 + 50 doest equal 180

ganeshie8 (ganeshie8):

how did you get C = 22.5 ?

OpenStudy (anonymous):

6sin50/10.2 = sin C

ganeshie8 (ganeshie8):

yes, keep going..

OpenStudy (anonymous):

.450614378 = sin C arcsin(.450614378 = C 26.8

OpenStudy (anonymous):

77.5 + 26.8 + 50 still doesnt equal 180

OpenStudy (anonymous):

Is no triangle formed?

OpenStudy (anonymous):

Well no triangle can be formed

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

Yolo

OpenStudy (anonymous):

Crap I was wrong

ganeshie8 (ganeshie8):

im getting below for angles : C = 27 B = 103

OpenStudy (anonymous):

I got 27 for C as well

OpenStudy (anonymous):

I didnt got 103 for B

ganeshie8 (ganeshie8):

show ur work for B

OpenStudy (anonymous):

13sin50/10.2 = sin B

OpenStudy (anonymous):

Because sin B / 13 = sin 50 / 10.2

ganeshie8 (ganeshie8):

looks good, what do u get for B ?

OpenStudy (anonymous):

77.5

ganeshie8 (ganeshie8):

thats right! but it wont form a triangle, so subtract it from 180

ganeshie8 (ganeshie8):

remember sin(x) = sin(180-x)

OpenStudy (anonymous):

Oh

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