document.write( "Question 1198347: Determine whether it is possible to draw a triangle
\n" ); document.write( " given each set of information. Sketch all possible
\n" ); document.write( " triangles where appropriate. Calculate, then label, all
\n" ); document.write( " side lengths to the nearest tenth of a centimetre and
\n" ); document.write( " all angles to the nearest degree.
\n" ); document.write( "b=12.2cm, c=8.2cm, AngleC=34
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Algebra.Com's Answer #831931 by ikleyn(52817)\"\" \"About 
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\n" ); document.write( "Determine whether it is possible to draw a triangle
\n" ); document.write( "given each set of information. Sketch all possible
\n" ); document.write( "triangles where appropriate. Calculate, then label, all
\n" ); document.write( "side lengths to the nearest tenth of a centimetre and
\n" ); document.write( "all angles to the nearest degree.
\n" ); document.write( "b=12.2cm, c=8.2cm, AngleC=34
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document.write( "Write the sine law identities\r\n" );
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document.write( "    \"a%2Fsin%28A%29\" = \"b%2Fsin%28B%29\" = \"c%2Fsin%28C%29\".\r\n" );
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document.write( "We have \"c%2Fsin%28C%29\" = \"8.2%2Fsin%2834%5Eo%29\" = \"8.2%2F0.5592\" = 14.664.\r\n" );
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document.write( "So, \"b%2Fsin%28B%29\" = 14.664,  or  sin(B) = \"b%2F14.664\" = \"12.2%2F14.664\" = 0.832  (rounded).\r\n" );
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document.write( "Since sin(B) is positive and less than 1, there are two possible values for the angle B measure.\r\n" );
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document.write( "You can find the measure of the angle B from sin(B) = 0.832 using your calculator (two possible values).\r\n" );
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document.write( "Doing this way, you will get two possible angles B,\r\n" );
document.write( "and then you will get two possible angles C from A + B + C = 180 degrees\r\n" );
document.write( "as  C = 180 - A - B.\r\n" );
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