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March 9th, 2017, 03:38 PM   #1
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Finding The Length Of AB

I'm currently having trouble with this question, my teacher has given me.

Find in triangle ABC, sinA=0.5, sinB=0.7, a=9, Find the length of AB.

The triangle looks like the one present.

Thanks in Advance!
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Last edited by TotalMathMan; March 9th, 2017 at 04:19 PM.
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March 9th, 2017, 04:08 PM   #2
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SinC cannot equal 9

you're going to need the length of at least one side.

that triangle can be grown or shrunk as much as you like and still keep those angles.

Check the problem again.
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March 9th, 2017, 04:11 PM   #3
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I think that's a trick question. Do you know about similar triangles? There's a triangle with those same angles for any length you can name. 10 miles, a million miles, an inch.

Did you leave out any info? Or does your teacher like to play tricks?
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March 9th, 2017, 04:16 PM   #4
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Quote:
Originally Posted by romsek View Post
SinC cannot equal 9

you're going to need the length of at least one side.

that triangle can be grown or shrunk as much as you like and still keep those angles.

Check the problem again.
Thanks for the quick reply!
I went ahead and adjust it I believe I might have read it wrong, thank you for pointing that out.
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March 9th, 2017, 04:18 PM   #5
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Quote:
Originally Posted by Maschke View Post
I think that's a trick question. Do you know about similar triangles? There's a triangle with those same angles for any length you can name. 10 miles, a million miles, an inch.

Did you leave out any info? Or does your teacher like to play tricks?
I went ahead and adjusted it
I doubt it, worse case scenario I can go ahead and ask for help tomorrow from her.
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March 9th, 2017, 05:50 PM   #6
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Which of the triangle's angles is obtuse?
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March 9th, 2017, 07:06 PM   #7
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Quote:
Originally Posted by TotalMathMan View Post
Thanks for the quick reply!
I went ahead and adjust it I believe I might have read it wrong, thank you for pointing that out.
Just use the law of sines; it's a one line calculation.

Last edited by skipjack; March 10th, 2017 at 04:08 AM.
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March 10th, 2017, 04:09 AM   #8
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It's not quite that simple, as the angle opposite AB isn't given.
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March 10th, 2017, 07:19 AM   #9
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Quote:
Originally Posted by romsek View Post
Just use the law of sines; it's a one line calculation.
ok, not quite one line.

Law of sines

$\dfrac{\sin(A)}{a} = \dfrac{\sin(B)}{b}$

$\dfrac{0.5}{9} = \dfrac{0.7}{b}$

$b = 12.6$

$\sin(C) = \sin( \pi - \arcsin(0.5) - \arcsin(0.7) ) \approx 0.963$

$\dfrac{\sin(C)}{c} = \dfrac{\sin(A)}{a}$

$c \approx 17.34$
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March 10th, 2017, 09:11 AM   #10
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Why did you calculate the value of b, but then not use it to find c?
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