document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269251>Question 269251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I need to find side X (The hypotenuse) of a right triangle only knowing that the 2 angles are 90, 60, and 30.  I know that the small side of the triangle is 11. I've only been able to find answers online, but nothing that actually tells me how to do it. Could I get a walk through please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197349 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have what is called a 30-60-90 triangle<BR>\n" );
document.write( "The lengths of the sides are in these ratios:<BR>\n" );
document.write( "side opposite the 30: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "side opposite the 60: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the hypotenuse: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you know 1 side, then you know the other 2<BR>\n" );
document.write( "to solve for hypotenuse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2Fx+=+1%2F2 ALIGN=MIDDLE  ALT=\"11%2Fx+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+22 ALIGN=MIDDLE  ALT=\"x+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Suppose you knew the length of the side opposite the 60<BR>\n" );
document.write( "Suppose that side was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The hypotenuse would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2Fx+=+sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"11%2Fx+=+sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22+=+sqrt%283%29%2Ax ALIGN=MIDDLE  ALT=\"22+=+sqrt%283%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+22%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+22%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );