document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829545>Question 829545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello I have a word problem on the Pythagorean theorem.  It says.... the bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? I also need help like lets say a lawn is 4 meters by 5 meters... how much is it if you cross diagonally across I dont know how to solve both of these problems.. thanxs </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499958 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=499958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle are the 2 sides<BR>\n" );
document.write( "that are 90 degrees to each other.<BR>\n" );
document.write( "The 3rd side is the hypotenuse.<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = one of the legs<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the other leg<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the hypotenuse<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "The pythagorean theorem says:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2+%2B+b%5E2+=+c%5E2+ ALIGN=MIDDLE  ALT=\"+a%5E2+%2B+b%5E2+=+c%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "For your problem, you can say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+3+ ALIGN=MIDDLE  ALT=\"+a+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "The length of the ladder is the hypotenuse,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+12+ ALIGN=MIDDLE  ALT=\"+c+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The distance from the ground to where the ladder<BR>\n" );
document.write( "touches the wall is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%5E2+%2B+b%5E2+=+12%5E2+ ALIGN=MIDDLE  ALT=\"+3%5E2+%2B+b%5E2+=+12%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+%2B+b%5E2+=+144+ ALIGN=MIDDLE  ALT=\"+9+%2B+b%5E2+=+144+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+=+135+ ALIGN=MIDDLE  ALT=\"+b%5E2+=+135+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+sqrt%28135%29+ ALIGN=MIDDLE  ALT=\"+b+=+sqrt%28135%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+11.619+ ALIGN=MIDDLE  ALT=\"+b+=+11.619+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2+%2B+b%5E2+=+c%5E2+ ALIGN=MIDDLE  ALT=\"+a%5E2+%2B+b%5E2+=+c%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a3%5E2+%2B+11.619%5E2+=+12%5E2+ ALIGN=MIDDLE  ALT=\"+a3%5E2+%2B+11.619%5E2+=+12%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+%2B+135.001+=+144+ ALIGN=MIDDLE  ALT=\"+9+%2B+135.001+=+144+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144.001+=+144+ ALIGN=MIDDLE  ALT=\"+144.001+=+144+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Your other problem is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%5E2+%2B+5%5E2+=+c%5E2+ ALIGN=MIDDLE  ALT=\"+4%5E2+%2B+5%5E2+=+c%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+%2B+25+=+c%5E2+ ALIGN=MIDDLE  ALT=\"+16+%2B+25+=+c%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c%5E2+=+41+ ALIGN=MIDDLE  ALT=\"+c%5E2+=+41+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+sqrt%2841%29+ ALIGN=MIDDLE  ALT=\"+c+=+sqrt%2841%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+6.403+ ALIGN=MIDDLE  ALT=\"+c+=+6.403+\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters is the<BR>\n" );
document.write( "diagonal distance\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );