document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294634>Question 294634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the length of the longer leg of a 30-60-90 triangle with a hypotenuse of length of 16{sqrt(6)}?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212479 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a 30 60 90 triangle <BR>\n" );
document.write( "the hypotenuse is 2x<BR>\n" );
document.write( "the shorter leg 1x<BR>\n" );
document.write( "and the longer leg sqrt(3)*x<BR>\n" );
document.write( "16*sqrt(6)/2=8sqrt(6)=x<BR>\n" );
document.write( "multiply x  by sqrt(3)<BR>\n" );
document.write( "8sqrt(6)*sqrt(3)<BR>\n" );
document.write( "24sqrt(2) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );