document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6688>Question 6688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HI,\r<BR>\n" );
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document.write( "      I have the following vertices of a rectangle:  (-2,1), (1,4), (3,2), and   (0,-1).  How do I find the length of the diagonal of the rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3671 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, you'll need to find the coordinates of opposite corners of the rectangle.  This is best done by sketching the rectangle on graph paper using the coordinates of the given vertices.\r<BR>\n" );
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document.write( "According to my sketch, the coordinates of the opposite corners are:<BR>\n" );
document.write( "(-2, 1) & (3, 2)<BR>\n" );
document.write( "(0, -1) & (1, 4)\r<BR>\n" );
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document.write( "Use the distance formula to find the distance between one pair of opposite corners:\r<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;\" > \r<BR>\n" );
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document.write( "Take either pair of coordinates and substitute the appropriate x, y values into the distance formula and solve for the distance, d. Let's take the second pair of points, (0, -1) & (1, 4)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%281+-+0%29%5E2+%2B+%284+-+%28-1%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%281+-+0%29%5E2+%2B+%284+-+%28-1%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%281%5E2+%2B+5%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%281%5E2+%2B+5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%2826%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%2826%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+5.1 ALIGN=MIDDLE  ALT=\"d+=+5.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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