document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174782>Question 1174782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which side lengths do NOT represent a 30° -60° -90° triangle?\r<BR>\n" );
document.write( "\n" );
document.write( "A. 1/2, √3/2, 1\r<BR>\n" );
document.write( "\n" );
document.write( "B. √2, √6, 2 √2\r<BR>\n" );
document.write( "\n" );
document.write( "C. 5/2, 5 √3/2, 10\r<BR>\n" );
document.write( "\n" );
document.write( "D. 3, 3 √3, 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800267 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53764)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The necessary and sufficient condition for the line &nbsp;TO &nbsp;REPRESENT &nbsp;a &nbsp;(30°,60°,90°) &nbsp;triangle is &nbsp;THIS:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    1)  The  longest side is twice the shortest side,\r\n" );
document.write( "\r\n" );
document.write( "and\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "   2)  The square of the longest side is equal to the sum of the squares of two other sides.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "So, &nbsp;for each optional line check these two conditions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Where you find these conditions &nbsp;1) &nbsp;and &nbsp;2) &nbsp;DISSATISFIED &nbsp;(or at least &nbsp;ONE &nbsp;dissatisfied), <BR>\n" );
document.write( "that line &nbsp;DOES &nbsp;NOT &nbsp;represent &nbsp;(30°,60°,90°) &nbsp;triangle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );