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Mathematics 14 Online
OpenStudy (anonymous):

can someone please help me figure this problem out? I'm suppose to find the length of a(lowercase a)

OpenStudy (anonymous):

|dw:1432431472256:dw|

OpenStudy (anonymous):

I think you might be able to use either the law of sines or cosines... I'm still thinking on it though

OpenStudy (anonymous):

Oh there you go! I got it! So, you gotta use this formula: Law of Cosines \[a^2 = c^2 + b^2 - 2bc *Cos A\]

OpenStudy (anonymous):

In this case, c=11, b=13, and A=110

OpenStudy (anonymous):

so you just plug it in and then take a square of the answer and you're all done :)

OpenStudy (anonymous):

Hope that helped!

OpenStudy (anonymous):

I plugged it in and got a= 19.69, -19.69 ?

OpenStudy (anonymous):

You got a negative answer for a^2 ?

OpenStudy (anonymous):

Yeah that's right, you get 19.69, its not negative. So length a = 19.69

OpenStudy (anonymous):

and then I do \[\sqrt{19.69}\]?

OpenStudy (anonymous):

Nope, \[a^2 = 387.817761\] and when you square it you get 19.69

OpenStudy (anonymous):

oh okay. so 19.69 is my final answer?

OpenStudy (anonymous):

Yep :)

OpenStudy (anonymous):

will you help me with some more?

OpenStudy (anonymous):

I'd love to, but unfortunately i gotta go get my homework done!

OpenStudy (anonymous):

XD okay thank you!

OpenStudy (anonymous):

No problem! :D good luck!

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