document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283712>Question 283712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one leg of a right triangle is 6cm shorter than the other leg. the length of the hypotenuse is 30cm. find the length of the longer leg. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205898 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=205898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> one leg of a right triangle is 6cm shorter than the other leg. the length of the hypotenuse is 30cm. find the length of the longer leg.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "one leg: x<BR>\n" );
document.write( "other leg: x-6<BR>\n" );
document.write( "hyp = 30<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Pythagoras:<BR>\n" );
document.write( "x^2 + (x-6)^2 = 30^2<BR>\n" );
document.write( "x^2 + x^2-12x+36 = 900<BR>\n" );
document.write( "2x^2 -12x - 864 = 0<BR>\n" );
document.write( "x^2 - 6x - 432 = 0<BR>\n" );
document.write( "(x+18)(x-24) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 24 cm (one leg)<BR>\n" );
document.write( "x-6 = 18 cm (other leg)<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );