Mathematics
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OpenStudy (anonymous):
Solve using law of cosines or law of sines
A=50* B=30* c=9*
a= b= C=
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OpenStudy (anonymous):
@myininaya when you have time
myininaya (myininaya):
You are given ASA
that means you are given a side between 2 angles
law of sines
OpenStudy (anonymous):
Okay i tried to figure it out but I cant
myininaya (myininaya):
find that 3rd angle first
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myininaya (myininaya):
I was start with finding the 3rd angle if given the first 2
myininaya (myininaya):
once you find the 3rd angle use the law of sines
OpenStudy (anonymous):
so c^2 =b^2-a^2?
myininaya (myininaya):
180=A+B+C
OpenStudy (anonymous):
im sorry +
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OpenStudy (anonymous):
Wait, huh ?
myininaya (myininaya):
Do you know the sum of the angles in a triangle is 180 degrees?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
180=50+30+C?
myininaya (myininaya):
So you know A+B+C=180
right
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OpenStudy (anonymous):
80=c?
OpenStudy (anonymous):
100 ****
myininaya (myininaya):
100 is C
not c
OpenStudy (anonymous):
C=100
myininaya (myininaya):
Right so now you have all 3 angles
and you also have side c
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myininaya (myininaya):
so now you can go into using law of sines
myininaya (myininaya):
you can do either
\[\frac{\sin(A)}{a}=\frac{\sin(C)}{c} \text{ or } \frac{\sin(B)}{b}=\frac{\sin(C)}{c}\]
myininaya (myininaya):
actually go ahead and do both side we need both a and b
OpenStudy (anonymous):
Can i just type it in my calculator?
OpenStudy (anonymous):
Crap nevermind we dont have a or b
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myininaya (myininaya):
first solve the first one for a
and solve the second one for b
then you can use the calculator
OpenStudy (anonymous):
\[\frac{ \sin 50 }{ a }=\frac{ \sin 100 }{ 9 }\]
?
OpenStudy (anonymous):
@myininaya
myininaya (myininaya):
yes now cross multiply
OpenStudy (anonymous):
9sin50=asin100
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myininaya (myininaya):
ok and the divide by sin(100)
myininaya (myininaya):
you are ready to put into your calculator now
OpenStudy (anonymous):
7.0007?
myininaya (myininaya):
yah
OpenStudy (anonymous):
Okay what next :)
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myininaya (myininaya):
find b
myininaya (myininaya):
\[\frac{\sin(B)}{b}=\frac{\sin(C)}{c} \]
OpenStudy (anonymous):
4.57=b
myininaya (myininaya):
sounds great
myininaya (myininaya):
that's it
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myininaya (myininaya):
good job
OpenStudy (anonymous):
Thank you.
myininaya (myininaya):
np