document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048019>Question 1048019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Right triangle with the longer leg 6 cm more than the shorter leg and the hypotenuse 12 cm more than the shorter leg. How long are the sides of the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663573 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=663573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the shorter leg be x<BR>\n" );
document.write( "Longer leg = x+6<BR>\n" );
document.write( "Hypotenuse=x+12\r<BR>\n" );
document.write( "\n" );
document.write( "Using the Pythogras theorem on right triangles<BR>\n" );
document.write( "Sum of squares of the sides = square of the hypotenuse<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B6%29%5E2+=+%28x%2B12%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B6%29%5E2+=+%28x%2B12%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x%5E2+%2B12x%2B+36+=+x%5E2+%2B24x+%2B144 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2+%2B12x%2B+36+=+x%5E2+%2B24x+%2B144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x%5E2+-x%5E2+%2B+12x+-24x+%2B36-144+=0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2+-x%5E2+%2B+12x+-24x+%2B36-144+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Grouping the like terms on one side<BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-12x+-108+=0 ALIGN=MIDDLE  ALT=\"x%5E2+-12x+-108+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-18x+%2B+6x+-108+=0 ALIGN=MIDDLE  ALT=\"+x%5E2+-18x+%2B+6x+-108+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-18%29%28x%2B6%29=0 ALIGN=MIDDLE  ALT=\"%28x-18%29%28x%2B6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This gives us x=18 and x=-6 <BR>\n" );
document.write( "Ignoring -6 as length cannot be negative\r<BR>\n" );
document.write( "\n" );
document.write( "SIdes are 18, 24 and 30 ( x, x+6 and x+12) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );