document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280586>Question 280586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a given right triangle is 6 cm longer than the<BR>\n" );
document.write( "shorter leg. The length of the shorter leg is 2 cm less than that of the longer<BR>\n" );
document.write( "leg.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204441 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=204441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a given right triangle is 6 cm longer than the<BR>\n" );
document.write( "shorter leg. The length of the shorter leg is 2 cm less than that of the longer<BR>\n" );
document.write( "leg.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Let shorter leg be \"x\".<BR>\n" );
document.write( "Other leg is \"x+2\"<BR>\n" );
document.write( "Hypotenuse = \"x+6\"<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Use Pythagoras to solve for \"x\" and the length of each side.<BR>\n" );
document.write( "(x+6)^2 = x^2 + (x+2)^2<BR>\n" );
document.write( "x^2 + 12x + 36 = 2x^2 + 4x+4<BR>\n" );
document.write( "x^2 - 8x - 32 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Quadratic Formula:<BR>\n" );
document.write( "x = [8 +- sqrt(64-4*-32)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [8 +- sqrt(192)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = (8 + sqrt(192))/2<BR>\n" );
document.write( "x = 10.93 cm (shorter leg)<BR>\n" );
document.write( "x+2 = 12.93 cm (other leg)<BR>\n" );
document.write( "x+6 = 16.93 cm (hypotenuse)<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );