document.write( "Question 1141617: A rhombus has side lengths of 25. What could be the lengths of the diagonals? \n" ); document.write( "
Algebra.Com's Answer #762212 by Edwin McCravy(20055)\"\" \"About 
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document.write( "We start out with a square (which IS a rhombus for all sides are equal in\r\n" );
document.write( "length. That's when the diagonals are equal in length, which, by the\r\n" );
document.write( "Pythagorean theorem equal to \"5%2Asqrt%282%29\".\r\n" );
document.write( "\"c%5E2=a%5E2%2Bb%5E2\"\r\n" );
document.write( "\"c%5E2=25%5E2%2B25%5E2\"\r\n" );
document.write( "\"c%5E2=25%5E2%2A2\"\r\n" );
document.write( "\"c=sqrt%2825%5E2%2A2%29\"\r\n" );
document.write( "\"c=5%2Asqrt%282%29\"\r\n" );
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document.write( "Then as we decrease the angle on the bottom left and increase the angle on\r\n" );
document.write( "the bottom right, the green diagonal increases to 25+25 or 50, but never\r\n" );
document.write( "quite gets to 50, for if it did, we'd only have a line segment 50 units\r\n" );
document.write( "long.  The red diagonal shrinks to 0 but never quite gets to 0 for the same\r\n" );
document.write( "reason.\r\n" );
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document.write( "Answer: the lengths of a diagonal can only be in the open interval from 0 to 50.  In interval notation that is (0,50) or 0 < x < 50.\r\n" );
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document.write( "Edwin
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