document.write( "Question 255943: A parallelogram has sides of legnths of 3 and 5, and one angle is 50'. find the lengths of the diagonals. \n" ); document.write( "
Algebra.Com's Answer #188141 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "First we'll find this diagonal marked d.\r\n" );
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document.write( "Let's erase the upper half of the parallelogram:\r\n" );
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document.write( "Now we have SAS, so we use the law of cosines:\r\n" );
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document.write( "\"d%5E2=3%5E2%2B5%5E2-2%2A3%2A5%2Acos%28%2250%B0%22%29\"\r\n" );
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document.write( "\"d%5E2=9%2B25-30cos%28%2250%B0%22%29\"\r\n" );
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document.write( "\"d%5E2=34-30%28.6427876097%29\"\r\n" );
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document.write( "\"d%5E2=14.71637171\"\r\n" );
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document.write( "\"d=3.836192345\"\r\n" );
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document.write( "Now we go back to the original parallelogram.\r\n" );
document.write( "Two adjacent angles of a parallelogram are\r\n" );
document.write( "supplementary, so since 180° - 50° = 130°\r\n" );
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document.write( "Next we'll find this diagonal marked d'.\r\n" );
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document.write( "Let's erase the upper half of the parallelogram:\r\n" );
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document.write( "Again we have SAS, so we use the law of cosines again:\r\n" );
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document.write( "\"%22d%27%22%5E2=3%5E2%2B5%5E2-2%2A3%2A5%2Acos%28%22130%B0%22%29\"\r\n" );
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document.write( "\"%22d%27%22%5E2=9%2B25-30cos%28%22130%B0%22%29\"\r\n" );
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document.write( "\"%22d%27%22%5E2=34-30%28-.6427876097%29\"\r\n" );
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document.write( "\"%22d%27%22%5E2=53.28362829\"\r\n" );
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document.write( "\"%22d%27%22=7.299563569\"\r\n" );
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document.write( "Edwin
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