document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476319>Question 476319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay, i have 4 points i had to graph<BR>\n" );
document.write( "A(-2,3) B(-2,9) C(5,9) D(5,3)\r<BR>\n" );
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document.write( "The question i need help on is:\r<BR>\n" );
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document.write( " Find the length of the diagonal from A to C. \r<BR>\n" );
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document.write( "PLEASE HELP ME! Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326599 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=326599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plot the points on your graph.<BR>\n" );
document.write( "draw the figure.<BR>\n" );
document.write( "find the diagonal.<BR>\n" );
document.write( "get the endpoints of the diagonal.<BR>\n" );
document.write( "solve for the length of the diagonal using the length formula.<BR>\n" );
document.write( "your 4 points are:<BR>\n" );
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document.write( "A         (-2,3)\r\n" );
document.write( "B         (-2,9)\r\n" );
document.write( "C         ( 5,9)\r\n" );
document.write( "D         ( 5,3)\r\n" );
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document.write( "Looks like A will be directly below B because they both have the same x coordinate.<BR>\n" );
document.write( "Looks like C will be directly to the right of A because they both have the same y coordinate.<BR>\n" );
document.write( "Looks like D will be directly below C because they both have the same x coordinate.<BR>\n" );
document.write( "Looks like D will be directly to the right of A because they both have the same y coordinate.<BR>\n" );
document.write( "I would guess you have a rectangle.<BR>\n" );
document.write( "It will have 2 diagonals.<BR>\n" );
document.write( "They will be from A to C and from B to D.<BR>\n" );
document.write( "Since this is a rectangle, they should both have the same length because the diagonals of a rectangle are equal in length to each other.<BR>\n" );
document.write( "First we'll solve for the length of AC and then we'll solve for the length of BD.<BR>\n" );
document.write( "AC extends from point A to point C.<BR>\n" );
document.write( "Those points are:<BR>\n" );
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document.write( "point        x value        y value\r\n" );
document.write( "A               -2             3\r\n" );
document.write( "C                5             9\r\n" );
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document.write( "BD extends from point B to point D.<BR>\n" );
document.write( "Those points are:<BR>\n" );
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document.write( "point        x value         y value\r\n" );
document.write( "B              -2               9\r\n" );
document.write( "D               5               3\r\n" );
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document.write( "The formula for length of a line is:<BR>\n" );
document.write( "length of a line equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute the points for A and C in the formula and you will get a length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2885%29 ALIGN=MIDDLE  ALT=\"sqrt%2885%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for AC.<BR>\n" );
document.write( "Substitute the points for B and D in the formula and you will get a length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2885%29 ALIGN=MIDDLE  ALT=\"sqrt%2885%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for BD.<BR>\n" );
document.write( "Their length are the same, as they should be if we are looking at a rectangle.<BR>\n" );
document.write( "Based on the points, I believe we are.<BR>\n" );
document.write( "A picture of what this object would look like is shown below.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/problems/rectangle_1.jpg\" alt = \"***** picture not found *****\"/ >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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