document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028995>Question 1028995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With a 30-60-90 TRIANGLE and assign the side opposite the 30 degree angle a value if 'X'. Using the pythogorean Theorem and the trigonometric functions  (sin,Cos, Tan) prove that the opposite the 60 degree angle is ×square root 3 and the hypotenuse is 2x.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644054 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+A+=+1%2F2+=+x%2FAC ALIGN=MIDDLE  ALT=\"sin+A+=+1%2F2+=+x%2FAC\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "AC = 2x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "By Pythagoras theorem\r<BR>\n" );
document.write( "\n" );
document.write( "(2x)^2 = x^2 + AB^2\r<BR>\n" );
document.write( "\n" );
document.write( "4x^2 =x^2+AB^2\r<BR>\n" );
document.write( "\n" );
document.write( "3x^2 = AB^2\r<BR>\n" );
document.write( "\n" );
document.write( "take the square root\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+sqrt%283%29X ALIGN=MIDDLE  ALT=\"AB+=+sqrt%283%29X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );