Determine the number of solution for each possible triangle

B= 61 degrees a=12 b=8

The answer on the back of my book states zero.

Although I would think it has 2 because

12> b sin a when a is 29 degrees

Can anyone help me as I am slightly confused.

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- December 25th 2010, 02:27 PMhomeylova223Ambigious case for the law of sines?
Determine the number of solution for each possible triangle

B= 61 degrees a=12 b=8

The answer on the back of my book states zero.

Although I would think it has 2 because

12> b sin a when a is 29 degrees

Can anyone help me as I am slightly confused. - December 25th 2010, 02:43 PMArchie Meade
- December 25th 2010, 02:44 PMdwsmith
Wikipedia offers and explanation and drawing which is helpful.

Law of sines - Wikipedia, the free encyclopedia - December 25th 2010, 09:09 PMSoroban
Hello, homeylova223!

Quote:

Determine the number of solution for this triangle:

. .

The answer on the back of my book states: zero..

If you had made a sketch, the answer would have been obvious.

Code:`C`

*

/:\

/ : \

a=12 / : \ b=8

/ : \

/ : \

/ :

/61o :

B * - - - + - - - * A

D

Draw altitude to side

In right triangle

Side is only 8 units long.

There istriangle.*no*