document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923208>Question 923208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the perimeter of the triangle with vertices a(4,-1), b(3,1) and c (-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 #559909 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=559909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the triangle with vertices a(4,-1), b(3,1) and c (-4,-2)\r<BR>\n" );
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document.write( "find the distance between points\r<BR>\n" );
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document.write( "the distance between a(4,-1), b(3,1) is equal to the length of the side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab ALIGN=MIDDLE  ALT=\"ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the distance between a(4,-1), c (-4,-2) is equal to the length of the side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac ALIGN=MIDDLE  ALT=\"ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the distance between b(3,1), c (-4,-2) is equal to the length of the side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bc ALIGN=MIDDLE  ALT=\"bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the perimeter is:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=ab%2Bac%2Bbc ALIGN=MIDDLE  ALT=\"P=ab%2Bac%2Bbc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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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=Distance_Formula_for_Coordinate_Plane.solver>Distance Formula to determine length on coordinate plane</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance (d) between two points is given by the following formula:<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Thus in our case, the required distance is<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%283-4%29%5E2+%2B+%281--1%29%5E2%29=+2.23606797749979+ ALIGN=MIDDLE  ALT=\"d=sqrt%28%283-4%29%5E2+%2B+%281--1%29%5E2%29=+2.23606797749979+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For more on this concept, refer to <A  rel=nofollow HREF=Distance_formula.wikipedia>Distance formula</A>.<BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( " \r<BR>\n" );
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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=Distance_Formula_for_Coordinate_Plane.solver>Distance Formula to determine length on coordinate plane</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance (d) between two points is given by the following formula:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Thus in our case, the required distance is<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28-4-4%29%5E2+%2B+%28-2--1%29%5E2%29=+8.06225774829855+ ALIGN=MIDDLE  ALT=\"d=sqrt%28%28-4-4%29%5E2+%2B+%28-2--1%29%5E2%29=+8.06225774829855+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For more on this concept, refer to <A  rel=nofollow HREF=Distance_formula.wikipedia>Distance formula</A>.<BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( " \r<BR>\n" );
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document.write( "<TABLE  BORDER=1>\n" );
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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=Distance_Formula_for_Coordinate_Plane.solver>Distance Formula to determine length on coordinate plane</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance (d) between two points is given by the following formula:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Thus in our case, the required distance is<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28-4-3%29%5E2+%2B+%28-2-1%29%5E2%29=+7.61577310586391+ ALIGN=MIDDLE  ALT=\"d=sqrt%28%28-4-3%29%5E2+%2B+%28-2-1%29%5E2%29=+7.61577310586391+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For more on this concept, refer to <A  rel=nofollow HREF=Distance_formula.wikipedia>Distance formula</A>.<BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( " so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab=2.24 ALIGN=MIDDLE  ALT=\"ab=2.24\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac=8.06 ALIGN=MIDDLE  ALT=\"ac=8.06\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bc=7.6%7D%7D%0D%0A%0D%0Athen+%7B%7B%7BP=ab%2Bac%2Bbc ALIGN=MIDDLE  ALT=\"bc=7.6%7D%7D%0D%0A%0D%0Athen+%7B%7B%7BP=ab%2Bac%2Bbc\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2.24%2B8.06%2B7.6 ALIGN=MIDDLE  ALT=\"P=2.24%2B8.06%2B7.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=17.9 ALIGN=MIDDLE  ALT=\"P=17.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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