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Mathematics 23 Online
OpenStudy (studytheworld):

Please help!! Will medal! helpp In the following triangle, (theta) = 60. Find the values of the angles B and B', which solve this ambiguous case. (See screenshot)

OpenStudy (studytheworld):

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OpenStudy (studytheworld):

@TrojanPoem Can you help me again? I appreciate it so much!

OpenStudy (trojanpoem):

Use the sine law: 12.3 / sin 60 = 13/ sin b sinb = 13 * sin60 / 12.3 b = 66.25 the small triangle is iso, so |dw:1446756479566:dw| b' = 180 - b b' = 180 - 66.25 = 113.75

OpenStudy (studytheworld):

So it's A?

OpenStudy (studytheworld):

And also can you go over the formula you used to find the solution again?

OpenStudy (trojanpoem):

It's called the sine rule: |dw:1446756772888:dw| For any triangle ABC: \[\frac{ a }{ \sin(A) } = \frac{ b }{ \sin(B)} = \frac{ c }{ \sin(C) } = 2r\]

OpenStudy (trojanpoem):

r is the radius of the circle passing through the heads of the triangle.|dw:1446756901245:dw|

OpenStudy (studytheworld):

Ohhh yes. I get it

OpenStudy (studytheworld):

Thanks for help :)

OpenStudy (trojanpoem):

You're always welcome.

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