document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760438>Question 760438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right triangle has one of its shorter sides 3cm longer than the other. if the square on the hypotenuse is 225cm^2, find the length of the shortest side. give your answer in cm. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462668 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=462668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Longer side = x<BR>\n" );
document.write( "Shorter side = x - 3<BR>\n" );
document.write( "x^2 + (x-3)^2 = 225<BR>\n" );
document.write( " x^2 + x^2 - 6x + 9 = 225<BR>\n" );
document.write( "       2x^2 - 6x - 216 = 0<BR>\n" );
document.write( "Divide by 2<BR>\n" );
document.write( "         x^2 - 3x - 108 = 0<BR>\n" );
document.write( "         (x - 12)(x + 9) = 0<BR>\n" );
document.write( "     x = 12     x = -9 (No answer)<BR>\n" );
document.write( " Longer side = 12cm<BR>\n" );
document.write( " Shorter side = 9cm<BR>\n" );
document.write( "  12^2 + 9^2 = 225 cm^2<BR>\n" );
document.write( "   144 + 81 = 225 cm^2<BR>\n" );
document.write( "        225 = 225.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );