document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083174>Question 1083174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lengths of the hypotenuse of a right triangle is 27 meters. One of the legs of this triangle has a length of 11sqrt(5) meters. What is the length of the other leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697178 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> hypotenuse: c = 27<BR>\n" );
document.write( "one leg: a = 11 times the square root of 5. Correct?<BR>\n" );
document.write( "other leg: b<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "Pythagoras says: a^2 + b^2 = c^2<BR>\n" );
document.write( "Since we want to know b, we subtract a^2 from both sides:<BR>\n" );
document.write( "a^2 - a^2 + b^2 = c^2 - a^2<BR>\n" );
document.write( "This leaves us with:<BR>\n" );
document.write( "b^2 = c^2 - a^2<BR>\n" );
document.write( "Now use your numbers:<BR>\n" );
document.write( "b^2 = 27^2 - 24.6^2<BR>\n" );
document.write( "b^2 = 123.84 <BR>\n" );
document.write( "now take the square root of both sides:<BR>\n" );
document.write( "b = 11.13 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );