Solve the triangle.
B = 73°, b = 15, c = 10

- anonymous

Solve the triangle.
B = 73°, b = 15, c = 10

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- Luigi0210

Let's draw! How are your drawing skills?

- anonymous

pretty average lol

- anonymous

|dw:1378767432540:dw| right?

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## More answers

- anonymous

|dw:1378767455376:dw|

- Luigi0210

Are you solving for a right triangle?

- anonymous

the lesson is law of sines and it says solve the triagle with those numbers that's it

- anonymous

I believe so though

- Luigi0210

Check again, if it was a right triangle we'd all be happy

- anonymous

C = 39.6°, A = 67.4°, a ≈ 14.5
Cannot be solved
C = 44.8°, A = 62.4°, a ≈ 14.5
C = 39.6°, A = 67.4°, a ≈ 20.3
those are my answers

- Luigi0210

This is what our pretty triangle looks like:

- Luigi0210

|dw:1378767805937:dw|

- anonymous

ok I see

- Luigi0210

So do you know your law of sines?

- anonymous

yes

- Luigi0210

Well let's see you apply them to this problem Mr Kramer

- anonymous

\[\frac{ a }{ \sin A }=\frac{ b }{ sinB }=\frac{ c }{ Sin C }\]

- anonymous

what do I do once I have that

- anonymous

something like this? \[\frac{ 15 }{ \sin 73 }=\frac{ c }{ \sin10 }\]

- anonymous

don't give up on me brotherin

- Luigi0210

Whoops sorry I was re-learning this:
But but yea that looks right, except for that c/sin10

- anonymous

ok whats wrong?

- Luigi0210

It's suppose to be 10/sin C

- anonymous

oh yea I see that now duhhh ok now how do I solve from there my friend

- Luigi0210

Think of them as fractions where you are trying to solve for a variable

- Luigi0210

Btw, the law of sines allows you to flip the fractions around to your liking

- anonymous

just multiply 15*10 ?

- Luigi0210

Hold on, rewrite it using the equation editor

- Luigi0210

And sorry, I tend to be an awful teacher xD

- anonymous

\[\frac{ 15 }{ \sin73 }*\frac{ 10 }{ sinc }\]

- Luigi0210

Now according to law of sines, we are allowed to flip them:
\[\frac{\sin73}{15}=\frac{sinC}{10}\]
Do you know how to get sinC by itself?

- anonymous

multiply its reciperical?

- Luigi0210

Think of sinC/10 as x/10, how do you get x by itself?

- anonymous

get rid of the 10

- Luigi0210

Yup, but how?
imagine if it was this:
\[25=\frac{x}{10}\]

- anonymous

well I know to the opposite of divison is multiply so just multiply each side by 10?

- Luigi0210

There you go!

- Luigi0210

Now what do you get after you do that?

- anonymous

250= x

- Luigi0210

I meant for our original silly xD

- anonymous

or is it 10x

- anonymous

oh lol uhhhh

- anonymous

\[\frac{ 150 }{ \sin730 }=sinc\]?

- Luigi0210

You got the right idea. Just multiply it by the top though.

- anonymous

wait what? I did?

- Luigi0210

Wait, hold on a few mins

- anonymous

otay

- Luigi0210

So I did first few steps:

##### 1 Attachment

- Luigi0210

Make sense?

- Luigi0210

@llkramer you dead? o:

- anonymous

hey sorry I was in a tuor session on my last problem -_-

- Luigi0210

Oh xD
But do you understand what I did?

- anonymous

yes :)

- anonymous

now distribute?

- Luigi0210

Nope, plug it into your calculator

- anonymous

39.61? that's C

- anonymous

GOT IT THANKS its this one C = 39.6°, A = 67.4°, a ≈ 14.5

- Luigi0210

Yup :)

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