document.write( "Question 1131928: Show that (b+a)sinA = acos½(B+C), where A, B and C are angles of a triangle and a, b and c are corresponding sides. \n" ); document.write( "
Algebra.Com's Answer #748659 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\"%28b%2Ba%29sin%28A%29+=+a%2Acos%28expr%281%2F2%29%28B%2BC%29%29\"
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document.write( "This is not true in general because if it were true in general it\r\n" );
document.write( "would hold true for an equilateral triangle with\r\n" );
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document.write( "a = b = c = 1 and A = B = C = 60°\r\n" );
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document.write( "Substituting:\r\n" );
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document.write( "\"%282%29%28sqrt%283%29%2F2%29+=+1%2Acos%28expr%281%2F2%29%28%22120%B0%22%29%29\"\r\n" );
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document.write( "\"%282%29%28sqrt%283%29%2F2%29+=+1%2Acos%28%2260%B0%22%29\" \r\n" );
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document.write( "\"%28cross%282%29%29%28sqrt%283%29%2Fcross%282%29%29+=+1%2A%281%2F2%29\"\r\n" );
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document.write( "\"sqrt%283%29+=+1%2F2\"\r\n" );
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document.write( "Which is false.  So since it is false for an equilateral triangle\r\n" );
document.write( "with all sides 1 and all angles 60°, it is NOT true in general.\r\n" );
document.write( "If you inadvertently typed it incorrectly, you may tell me in the\r\n" );
document.write( "form below and I'll get back to you by email. There is never any\r\n" );
document.write( "charge as I am a retired mathematics teacher and I do this for fun.\r\n" );
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document.write( "Edwin

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