document.write( "Question 1198059: In a triangle ABC the angle A is 62 degrees, and the lengths of two sides are, a=6 and side b=10. What is the length of side c.\r
\n" ); document.write( "\n" ); document.write( "One of the following possible answers follow
\n" ); document.write( "A) 6
\n" ); document.write( "B) 8
\n" ); document.write( "C) 10
\n" ); document.write( "D) 12
\n" ); document.write( "E) None of these \n" ); document.write( "
Algebra.Com's Answer #831566 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The above drawing is approximately to scale. And as you see the\r\n" );
document.write( "side a = CB = 6 is too short to reach down to make a triangle of\r\n" );
document.write( "any kind, because angle A=62o opens too wide.  So I predict there \r\n" );
document.write( "is no solution.\r\n" );
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document.write( "This is the ambiguous case, ASS, which can have 0,1, or 2 solutions.\r\n" );
document.write( "Let's show it has 0 solutions with the law of sines:\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( "\"6%2Fsin%2862%5Eo%29=10%2Fsin%28B%29\"\r\n" );
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document.write( "\"6sin%28B%29=10sin%2862%5Eo%29\"\r\n" );
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document.write( "\"sin%28B%29=%2810sin%2862%5Eo%29%29%2F6\"\r\n" );
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document.write( "\"sin%28B%29=%2810%280.8829475929%29%29%2F6\"\r\n" );
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document.write( "\"sin%28B%29=1.471579321\"\r\n" );
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document.write( "No sine can ever be more than 1.  So there is no solution.\r\n" );
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document.write( "Edwin

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