document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087936>Question 1087936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Seth builds a bike ramp in the shape of a right triangle. One leg is one inch shorter than the \"ramp\" while the other leg , the height of the ramp, is 8 in. shorter than the ramp. What is the height of the ramp? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702234 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the ramp be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+%7C%7C%7C+inches+long%0D%0AAnother+leg+is+%7B%7B%7B+r+-+1+ ALIGN=MIDDLE  ALT=\"+r+%7C%7C%7C+inches+long%0D%0AAnother+leg+is+%7B%7B%7B+r+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in long<BR>\n" );
document.write( "The height of the ramp is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+-+8+ ALIGN=MIDDLE  ALT=\"+r+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in long<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Use pythagorean theorem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r+-+1+%29%5E2+%2B+%28+r+-+8+%29%5E2+=+r%5E2+ ALIGN=MIDDLE  ALT=\"+%28+r+-+1+%29%5E2+%2B+%28+r+-+8+%29%5E2+=+r%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2+-+2r+%2B+1+%2B+r%5E2+-+16r+%2B+64+=+r%5E2+ ALIGN=MIDDLE  ALT=\"+r%5E2+-+2r+%2B+1+%2B+r%5E2+-+16r+%2B+64+=+r%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r%5E2+-+18r+%2B+65+=+r%5E2+ ALIGN=MIDDLE  ALT=\"+2r%5E2+-+18r+%2B+65+=+r%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2+-+18r+%2B+65+=+0+ ALIGN=MIDDLE  ALT=\"+r%5E2+-+18r+%2B+65+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2+-+18r+%2B+%2818%2F2%29%5E2+=+-65+%2B+%2818%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+r%5E2+-+18r+%2B+%2818%2F2%29%5E2+=+-65+%2B+%2818%2F2%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=+r%5E2+-+18r+%2B+81+=+-65+%2B+81+ ALIGN=MIDDLE  ALT=\"+r%5E2+-+18r+%2B+81+=+-65+%2B+81+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r+-+9+%29%5E2+=+16+ ALIGN=MIDDLE  ALT=\"+%28+r+-+9+%29%5E2+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r+-+9+%29%5E2+=+4%5E2+ ALIGN=MIDDLE  ALT=\"+%28+r+-+9+%29%5E2+=+4%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+-+9+=+4+ ALIGN=MIDDLE  ALT=\"+r+-+9+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+13+ ALIGN=MIDDLE  ALT=\"+r+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the other solution is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+-+9+=+-4+ ALIGN=MIDDLE  ALT=\"+r+-+9+=+-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+5+ ALIGN=MIDDLE  ALT=\"+r+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( I can't use this solution because I cannot subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+ ALIGN=MIDDLE  ALT=\"+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > from it )<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+13+ ALIGN=MIDDLE  ALT=\"+r+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+-+1+=+12+ ALIGN=MIDDLE  ALT=\"+r+-+1+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+-+8+=+5+ ALIGN=MIDDLE  ALT=\"+r+-+8+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The height of the ramp is 5 in<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r+-+1+%29%5E2+%2B+%28+r+-+8+%29%5E2+=+r%5E2+ ALIGN=MIDDLE  ALT=\"+%28+r+-+1+%29%5E2+%2B+%28+r+-+8+%29%5E2+=+r%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%5E2+%2B+5%5E2+=+13%5E2+ ALIGN=MIDDLE  ALT=\"+12%5E2+%2B+5%5E2+=+13%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144+%2B+25+=+169+ ALIGN=MIDDLE  ALT=\"+144+%2B+25+=+169+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+169+=+169+ ALIGN=MIDDLE  ALT=\"+169+=+169+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );