document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668543>Question 668543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the hypotenuse of a 30 - 60 - 90 degrees triangle, determine the lengths of the two legs.  Write your answers as radicals in simplest form.\r<BR>\n" );
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document.write( "Answer this where:<BR>\n" );
document.write( "c = hypotenuse<BR>\n" );
document.write( "hypotenuse = 6 sqrt 3<BR>\n" );
document.write( "a = ?<BR>\n" );
document.write( "b = ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415653 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If we have a 30,60,90 triangle where a,b,c are the lengths from smallest to largest then we have that \r<BR>\n" );
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document.write( "a = a<BR>\n" );
document.write( "b = sqrt(3)*a<BR>\n" );
document.write( "c = 2a\r<BR>\n" );
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document.write( "So c = 6 * sqrt(3),  a is half of that giving us 3*sqrt(3), and b is 3*sqrt(3)*sqrt(3) = 3 * 3 = 9\r<BR>\n" );
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document.write( "a = 3*sqrt(3)<BR>\n" );
document.write( "b = 9<BR>\n" );
document.write( "c = 6*sqrt(3) </SPAN>\n" );
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