document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548549>Question 548549</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The hypotenuse of a right triangle is 16 in. longer <BR>\n" );
document.write( "than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the shortest side (in inches)? <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 #357058 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=357058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the hypotenuse be x<BR>\n" );
document.write( "it is 16 in longer than the shortest side<BR>\n" );
document.write( "so shortest side = x-16<BR>\n" );
document.write( "other side = x-2\r<BR>\n" );
document.write( "\n" );
document.write( "By Pythagoras theorem\r<BR>\n" );
document.write( "\n" );
document.write( "(x-2)^2+(x-16)^2=x^2\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-4x+4+x^2-32x+256=x^2<BR>\n" );
document.write( "x^2-36x+260=0<BR>\n" );
document.write( "x^2-26x-10x+260=0<BR>\n" );
document.write( "x(x-26)-10(x-26)=0<BR>\n" );
document.write( "(x-26)(x-10)=0<BR>\n" );
document.write( "x=26 OR 10\r<BR>\n" );
document.write( "\n" );
document.write( "Only 26 is possible\r<BR>\n" );
document.write( "\n" );
document.write( "shortest side = 26-16=10<BR>\n" );
document.write( "other side = 24\r<BR>\n" );
document.write( "\n" );
document.write( "The sides are 10,24,26\r<BR>\n" );
document.write( "\n" );
document.write( "CHECK<BR>\n" );
document.write( "10^2+24^2=676 = 26^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );