document.write( "Question 1067518: an angle bisector of a triangle divides the opposite side of the
\n" ); document.write( "triangle into segments 5cm and 3cm long. a second side of the
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Algebra.Com's Answer #682703 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "By the law of sines in the upper triangle,\r\n" );
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document.write( "       \"3%2Fsin%28alpha%29\"\"%22%22=%22%22\"\"x%2Fsin%28beta%29\"\r\n" );
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document.write( "eq. 1  \"3%2Asin%28beta%29\"\"%22%22=%22%22\"\"x%2Asin%28alpha%29\"\r\n" );
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document.write( "Also by the law of sines in the lower triangle,\r\n" );
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document.write( "       \"5%2Fsin%28alpha%29\"\"%22%22=%22%22\"\"7.5%2Fsin%28pi-beta%29\"\r\n" );
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document.write( "       \"5%2Asin%28pi-beta%29\"\"%22%22=%22%22\"\"7.5%2Asin%28alpha%29\"\r\n" );
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document.write( "And since \"beta\" and \"pi-beta\" are supplementary,\r\n" );
document.write( "they have the same sine:\r\n" );
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document.write( "eq. 2  \"5%2Asin%28beta%29\"\"%22%22=%22%22\"\"7.5%2Asin%28alpha%29\"\r\n" );
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document.write( "Dividing equals by equals using eq. 1 and eq. 2:\r\n" );
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document.write( "       \"3%2F5\"\"%22%22=%22%22\"\"x%2F7.5\"\r\n" );
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document.write( "       \"5x\"\"%22%22=%22%22\"\"3%2A7.5\"\r\n" );
document.write( "      \r\n" );
document.write( "       \"5x\"\"%22%22=%22%22\"\"22.5\"\r\n" );
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document.write( "        \"x\"\"%22%22=%22%22\"\"4.5\"\r\n" );
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document.write( "That's only one solution.  There is another solution.\r\n" );
document.write( "Here is the drawing:\r\n" );
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document.write( "You find the other solution.  It's done the same way as the \r\n" );
document.write( "first solution.  \r\n" );
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document.write( "Edwin
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