document.write( "Question 115251This question is from textbook technical mathmatics
\n" ); document.write( ": Find the length of the longer diagonal of a parallelogram two of whose sides are 34mm and 94mm; their included angle is 105 degrees \n" ); document.write( "
Algebra.Com's Answer #83844 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Find the length of the longer diagonal of a \r\n" );
document.write( "parallelogram two of whose sides are 34mm \r\n" );
document.write( "and 94mm; their included angle is 105 degrees\r\n" );
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document.write( "Draw the parallelogram:\r\n" );
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document.write( "Draw in the longer diagonal, call its length x:\r\n" );
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document.write( "Erase the upper triangle:\r\n" );
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document.write( "The law of cosines when given two sides and the angle\r\n" );
document.write( "included between them is:\r\n" );
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document.write( "(Unknown side)² =\r\n" );
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document.write( "(One given side)²+(Other given side)²-2(One given side)(Other given side)(Cosine of given angle)\r\n" );
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document.write( "So \r\n" );
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document.write( "x² = 34² + 94² - 2(34)(94)cos(105°)\r\n" );
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document.write( "x² = 1156 + 8836 - 6392(-.2588190451)\r\n" );
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document.write( "x² = 11646.37134\r\n" );
document.write( "     ___________\r\n" );
document.write( "x = Ö11646.37134\r\n" );
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document.write( "x = 107.918355mm\r\n" );
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document.write( "You should round that to the correct\r\n" );
document.write( "degree of precision.  The angle given\r\n" );
document.write( "to the nearest degree corresponds to\r\n" );
document.write( "the sides given to the nearest two\r\n" );
document.write( "significant digits.  That would be\r\n" );
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document.write( "x = 110mm\r\n" );
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document.write( "However, when the first two digits are \"10\",\r\n" );
document.write( "some mathematicans claim that you should\r\n" );
document.write( "increase the precision by one significant\r\n" );
document.write( "digit.  In that case your final answer\r\n" );
document.write( "would be\r\n" );
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document.write( "x = 108mm\r\n" );
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document.write( "Edwin

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