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Mathematics 16 Online
OpenStudy (sleepyjess):

Solve the triangle. B = 73, b = 15, c = 8

OpenStudy (sleepyjess):

@ganeshie8

OpenStudy (sleepyjess):

I am coming up with 38.933 for a, but that isn't an option.

OpenStudy (sleepyjess):

@nincompoop

OpenStudy (nincompoop):

how did you solve for it?

OpenStudy (nincompoop):

I would like to see your work

OpenStudy (sleepyjess):

I did \(\sf \dfrac{15}{73}=\dfrac{8}{a}\), then cross multiplied coming up with \(\sf\dfrac{584}{15a}\) then divided by 15, \(\sf\dfrac{38.933}{a}\) then multiplied by a, ending up with a = 38.933

OpenStudy (nincompoop):

hmmm I don't think you are suppose to do that

OpenStudy (nincompoop):

the lower caps and caps denote side and angle respectively EXAMPLE |dw:1421391500285:dw|

OpenStudy (nincompoop):

so the B might be 73 degrees instead of measurement of a side length

OpenStudy (nincompoop):

have you learned laws of cosine and sine?

OpenStudy (sleepyjess):

I used by as an angle.

OpenStudy (sleepyjess):

That is what they are "teaching" us now.

OpenStudy (nincompoop):

hmmm

OpenStudy (nincompoop):

do you ave a copy of ck.org free trigonometry book?

OpenStudy (sleepyjess):

I was thinking to use this: a/sin A = b/sin B = c/sin C

OpenStudy (nincompoop):

based on your solution, can you draw the triangle ?

OpenStudy (sleepyjess):

|dw:1421391843633:dw|

OpenStudy (nincompoop):

oh okay, so you know about the law of sine and how about the law of cosine?

OpenStudy (sleepyjess):

No, I haven't gotten to law of cosine yet

OpenStudy (nincompoop):

that is okay

OpenStudy (nincompoop):

|dw:1421392099270:dw|

OpenStudy (the_fizicx99):

|dw:1421392279631:dw| ^^ That's actually possible, you can approach it like that if you want

OpenStudy (nincompoop):

we can also use sinA/a = sinB/b = sinC/c

OpenStudy (the_fizicx99):

Actually I'd use Tan

OpenStudy (sleepyjess):

Sorry had to switch over to my phone

OpenStudy (nincompoop):

you don't have enough to use pythagorean theorem @tHe_FiZiCx99 you can derive by utilizing laws of cosine, and maybe, just maybe you will get somewhere an easy path to solving this

OpenStudy (nincompoop):

let us first solve for the angle C, @sleepyjess and use the laws of sine

OpenStudy (nincompoop):

|dw:1421392663304:dw|

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