document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061056>Question 1061056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One leg of a right triangle is 7cm shorter than the other leg. How long should be the shorter leg to ensure the hypotenuse is at least 13? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676017 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=676017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "Make 'other leg' = x<BR>\n" );
document.write( "One leg = x - 7<BR>\n" );
document.write( "Using Pythagoras' Theorem.<BR>\n" );
document.write( "x^2 + (x - 7)^2 = 13^2<BR>\n" );
document.write( "x^2 + x^2 - 14x + 49 = 169<BR>\n" );
document.write( "Rearrange and collect like terms.<BR>\n" );
document.write( "2x^2 - 14x - 120 = 0<BR>\n" );
document.write( "Divide by 2 throughout (for ease)<BR>\n" );
document.write( "2(x^2 - 7x - 60) = 0<BR>\n" );
document.write( "2(x + 5)(x - 12) = 0<BR>\n" );
document.write( "x + 5 = 0<BR>\n" );
document.write( "x = -5 (Disregard as -ve)<BR>\n" );
document.write( "x - 12 = 0<BR>\n" );
document.write( "x = 12<BR>\n" );
document.write( "Other leg = 12 cm<BR>\n" );
document.write( "One leg = 5 cm<BR>\n" );
document.write( "Shorter leg = 5 cm<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );