document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419116>Question 419116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a right-angled triangle, one of the sides adjacent to the right angle is 4cm longer than the other side<BR>\n" );
document.write( "Find the length of ALL three sides if the area of the triangle is 96cm(squared) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293154 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/2 * base * height = 96<BR>\n" );
document.write( "base * height = 192<BR>\n" );
document.write( "Let one side be x<BR>\n" );
document.write( "the other be (x+4)<BR>\n" );
document.write( "....<BR>\n" );
document.write( "x(x+4)=192<BR>\n" );
document.write( "x^2+4x=192<BR>\n" );
document.write( "x^2+4x-192=0<BR>\n" );
document.write( "x^2+16x-12x-192=0<BR>\n" );
document.write( "x(x+16)-12(x+16)=0<BR>\n" );
document.write( "(x+16)(x-12)=0<BR>\n" );
document.write( "x= 12 cm one side<BR>\n" );
document.write( "other side = 16 cm\r<BR>\n" );
document.write( "\n" );
document.write( "12^2+16^2=HYP^2<BR>\n" );
document.write( "144+256=HYP^2<BR>\n" );
document.write( "400=HYP^2<BR>\n" );
document.write( "HYP = 20 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );