document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132017>Question 1132017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the Area and Perimeter for the coordinates below:<BR>\n" );
document.write( "K(-2,3) L(-4,1) M(-3,-3) N(3,-3) J(4,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748827 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find the Area and Perimeter for the coordinates below:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K ALIGN=MIDDLE  ALT=\"K\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M ALIGN=MIDDLE  ALT=\"M\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=J ALIGN=MIDDLE  ALT=\"J\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) \r<BR>\n" );
document.write( "\n" );
document.write( "first sketch it:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing+%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Aline%28-2%2C3%2C-4%2C1%29%2Cline%28-2%2C3%2C4%2C2%29%2Cline%283%2C-3%2C4%2C2%29%2Cline%28-3%2C-3%2C-4%2C1%29%2Cline%28-3%2C-3%2C3%2C-3%29%2C%0D%0Acircle%28-2%2C3%2C.12%29%2C+locate%28-2%2C3.5%2CK%29%2C%0D%0Acircle%28-4%2C1%2C.12%29%2C+locate%28-4%2C1%2CL%29%2C%0D%0Acircle%28-3%2C-3%2C.12%29%2C+locate%28-3%2C-3.5%2CM%29%2C%0D%0Acircle%283%2C-3%2C.12%29%2C+locate%283%2C-3.5%2CN%29%2C%0D%0Acircle%284%2C2%2C.12%29%2C+locate%284%2C2.5%2CJ%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+0%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to find perimeter, first find distance between points\r<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=formula_distance.solver>Distance Between 2 points</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in the numbers,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%283-%28-3%29%29%5E2%29%2B%28%28-3-%28-3%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%283-%28-3%29%29%5E2%29%2B%28%28-3-%28-3%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%5E2%2B0%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%286%5E2%2B0%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The distance is 6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN=6 ALIGN=MIDDLE  ALT=\"MN=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=formula_distance.solver>Distance Between 2 points</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in the numbers,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28-4-%28-3%29%29%5E2%29%2B%28%281-%28-3%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28-4-%28-3%29%29%5E2%29%2B%28%281-%28-3%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%5E2%2B4%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28-1%5E2%2B4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The distance is 4.12310562561766.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LM=+4.12 ALIGN=MIDDLE  ALT=\"LM=+4.12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=formula_distance.solver>Distance Between 2 points</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in the numbers,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28-4-%28-2%29%29%5E2%29%2B%28%281-%283%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28-4-%28-2%29%29%5E2%29%2B%28%281-%283%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-2%5E2%2B-2%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28-2%5E2%2B-2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The distance is 2.82842712474619.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KL=2.83 ALIGN=MIDDLE  ALT=\"KL=2.83\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=formula_distance.solver>Distance Between 2 points</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in the numbers,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%284-%28-2%29%29%5E2%29%2B%28%282-%283%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%284-%28-2%29%29%5E2%29%2B%28%282-%283%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%5E2%2B-1%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%286%5E2%2B-1%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The distance is 6.08276253029822.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KJ=6.0827 ALIGN=MIDDLE  ALT=\"KJ=6.0827\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=formula_distance.solver>Distance Between 2 points</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in the numbers,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%284-%283%29%29%5E2%29%2B%28%282-%28-3%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%284-%283%29%29%5E2%29%2B%28%282-%28-3%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%5E2%2B5%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%281%5E2%2B5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The distance is 5.09901951359278.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=JN=5.099 ALIGN=MIDDLE  ALT=\"JN=5.099\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, perimeter is:<BR>\n" );
document.write( "if<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN=6 ALIGN=MIDDLE  ALT=\"MN=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LM=+4.12 ALIGN=MIDDLE  ALT=\"LM=+4.12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KL=2.83 ALIGN=MIDDLE  ALT=\"KL=2.83\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KJ=6.0827 ALIGN=MIDDLE  ALT=\"KJ=6.0827\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=JN=5.099 ALIGN=MIDDLE  ALT=\"JN=5.099\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=6%2B4.12%2B2.83%2B6.0827%2B5.099 ALIGN=MIDDLE  ALT=\"P=6%2B4.12%2B2.83%2B6.0827%2B5.099\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=24.1317 ALIGN=MIDDLE  ALT=\"P=24.1317\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "draw two diagonals and cut polygon into three triangles\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing+%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Aline%28-2%2C3%2C-4%2C1%29%2Cline%28-2%2C3%2C4%2C2%29%2Cline%283%2C-3%2C4%2C2%29%2Cline%28-3%2C-3%2C-4%2C1%29%2Cline%28-3%2C-3%2C3%2C-3%29%2C%0D%0Acircle%28-2%2C3%2C.12%29%2C+locate%28-2%2C3.5%2CK%29%2Cline%28-2%2C3%2C-3%2C-3%29%2Cline%28-2%2C3%2C3%2C-3%29%2C%0D%0Acircle%28-4%2C1%2C.12%29%2C+locate%28-4%2C1%2CL%29%2C%0D%0Acircle%28-3%2C-3%2C.12%29%2C+locate%28-3%2C-3.5%2CM%29%2C%0D%0Acircle%283%2C-3%2C.12%29%2C+locate%283%2C-3.5%2CN%29%2C%0D%0Acircle%284%2C2%2C.12%29%2C+locate%284%2C2.5%2CJ%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+0%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=formula_distance.solver>Distance Between 2 points</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in the numbers,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28-2-%28-3%29%29%5E2%29%2B%28%283-%28-3%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28-2-%28-3%29%29%5E2%29%2B%28%283-%28-3%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%5E2%2B6%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%281%5E2%2B6%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The distance is 6.08276253029822.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MK=d%5B1%5D=6.083 ALIGN=MIDDLE  ALT=\"MK=d%5B1%5D=6.083\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=formula_distance.solver>Distance Between 2 points</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in the numbers,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28-2-%283%29%29%5E2%29%2B%28%283-%28-3%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%28-2-%283%29%29%5E2%29%2B%28%283-%28-3%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-5%5E2%2B6%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28-5%5E2%2B6%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The distance is 7.81024967590665.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KN=d%5B2%5D=7.81 ALIGN=MIDDLE  ALT=\"KN=d%5B2%5D=7.81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use Heron's Formula for the area of a triangle:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=sqrt%28+p%28p-a%29+%28p-b%29+%28p-c%29%29+ ALIGN=MIDDLE  ALT=\"Area=sqrt%28+p%28p-a%29+%28p-b%29+%28p-c%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >where where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p ALIGN=MIDDLE  ALT=\"+p\"   DISABLED_style= \"max-width:90%; height:auto;\" > is half the perimeter, or   <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%2Bc+%29%2F2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%2Bc+%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "the area of triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MLK ALIGN=MIDDLE  ALT=\"MLK\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LM=+4.12 ALIGN=MIDDLE  ALT=\"LM=+4.12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KL=2.83 ALIGN=MIDDLE  ALT=\"KL=2.83\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MK=d%5B1%5D=6.083 ALIGN=MIDDLE  ALT=\"MK=d%5B1%5D=6.083\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28a%2Bb%2Bc+%29%2F2 ALIGN=MIDDLE  ALT=\"p=%28a%2Bb%2Bc+%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%284.12%2B2.83%2B6.083+%29%2F2 ALIGN=MIDDLE  ALT=\"p=%284.12%2B2.83%2B6.083+%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=6.5165 ALIGN=MIDDLE  ALT=\"p=6.5165\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=sqrt%28+6.5165%286.5165-4.12%29+%286.5165-2.83%29+%286.5165-6.083%29%29+ ALIGN=MIDDLE  ALT=\"A%5B1%5D=sqrt%28+6.5165%286.5165-4.12%29+%286.5165-2.83%29+%286.5165-6.083%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=sqrt%28+6.5165%282.3965%29+%283.6865%29+%280.4335%29%29+ ALIGN=MIDDLE  ALT=\"A%5B1%5D=sqrt%28+6.5165%282.3965%29+%283.6865%29+%280.4335%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=sqrt%28+6.5165%283.8298%29%29+ ALIGN=MIDDLE  ALT=\"A%5B1%5D=sqrt%28+6.5165%283.8298%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=sqrt%28+24.9568917%29+ ALIGN=MIDDLE  ALT=\"A%5B1%5D=sqrt%28+24.9568917%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=4.99568731 ALIGN=MIDDLE  ALT=\"A%5B1%5D=4.99568731\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the area of triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MKN ALIGN=MIDDLE  ALT=\"MKN\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MK=d%5B1%5D=6.083 ALIGN=MIDDLE  ALT=\"MK=d%5B1%5D=6.083\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN=d%5B1%5D=6 ALIGN=MIDDLE  ALT=\"MN=d%5B1%5D=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KN=d%5B2%5D=7.81 ALIGN=MIDDLE  ALT=\"KN=d%5B2%5D=7.81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%286.083%2B6%2B7.8+%29%2F2 ALIGN=MIDDLE  ALT=\"p=%286.083%2B6%2B7.8+%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=9.9415 ALIGN=MIDDLE  ALT=\"p=9.9415\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=sqrt%28+9.9415%289.9415-6.083%29+%289.9415-6%29+%289.9415-7.8%29%29+ ALIGN=MIDDLE  ALT=\"A%5B2%5D=sqrt%28+9.9415%289.9415-6.083%29+%289.9415-6%29+%289.9415-7.8%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=sqrt%28+9.9415%283.8585%29+%283.9415%29+%282.1415%29%29+ ALIGN=MIDDLE  ALT=\"A%5B2%5D=sqrt%28+9.9415%283.8585%29+%283.9415%29+%282.1415%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=sqrt%28+323.78%29+ ALIGN=MIDDLE  ALT=\"A%5B2%5D=sqrt%28+323.78%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=17.9939+ ALIGN=MIDDLE  ALT=\"A%5B2%5D=17.9939+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the area of triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KNJ ALIGN=MIDDLE  ALT=\"KNJ\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KN=d%5B2%5D=7.81 ALIGN=MIDDLE  ALT=\"KN=d%5B2%5D=7.81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=KJ=6.0827 ALIGN=MIDDLE  ALT=\"KJ=6.0827\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=JN=5.099 ALIGN=MIDDLE  ALT=\"JN=5.099\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%287.81%2B6.0827%2B5.099+%29%2F2 ALIGN=MIDDLE  ALT=\"p=%287.81%2B6.0827%2B5.099+%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=9.49585 ALIGN=MIDDLE  ALT=\"p=9.49585\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B3%5D=sqrt%28+9.49585%289.49585-7.81%29+%289.49585-6.0827%29+%289.49585-5.099%29%29+ ALIGN=MIDDLE  ALT=\"A%5B3%5D=sqrt%28+9.49585%289.49585-7.81%29+%289.49585-6.0827%29+%289.49585-5.099%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B3%5D=sqrt%28+9.49585%2825.299733995378375%29%29+ ALIGN=MIDDLE  ALT=\"A%5B3%5D=sqrt%28+9.49585%2825.299733995378375%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B3%5D=sqrt%28+240.24247906001374224375%29+ ALIGN=MIDDLE  ALT=\"A%5B3%5D=sqrt%28+240.24247906001374224375%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B3%5D=15.499757387133959 ALIGN=MIDDLE  ALT=\"A%5B3%5D=15.499757387133959\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so the total area is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=A%5B1%5D%2BA%5B2%5D%2BA%5B3%5D ALIGN=MIDDLE  ALT=\"A=A%5B1%5D%2BA%5B2%5D%2BA%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=4.99568731%2B17.9939%2B15.499757387133959 ALIGN=MIDDLE  ALT=\"A=4.99568731%2B17.9939%2B15.499757387133959\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >&asymp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38.49 ALIGN=MIDDLE  ALT=\"38.49\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );