Mathematics
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OpenStudy (anonymous):
Law of cosines
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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
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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|
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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 ?
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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?
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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
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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
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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)
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OpenStudy (anonymous):
Oh