document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394890>Question 394890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"How can I determine the range of possible values of the fourth side of a quadrilateral if there are three values of sides that are given? thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280368 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=280368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To determine the range of possible values of the fourth side of a quadrilateral if there are <BR>\n" );
document.write( "three values of sides that are given, you need to analyze carefully what kind of sides is given (are they all same length, are 2 of them same length or all have different length, what possible angles they make)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Quadrilateral just means \"four sides\" , and these are: a square, rhombus, rectangle, parallelogram, trapezoid and kite.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "properties\r<BR>\n" );
document.write( "\n" );
document.write( "    * Four sides (or edges)<BR>\n" );
document.write( "    * Four vertices (or corners).<BR>\n" );
document.write( "    * The interior angles add up to 360 degrees\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=all+ ALIGN=MIDDLE  ALT=\"all+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=same+ ALIGN=MIDDLE  ALT=\"same+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length ALIGN=MIDDLE  ALT=\"length\"   DISABLED_style= \"max-width:90%; height:auto;\" >: that could be square or a rhombus (both have four-sided shape where all sides have equal length and also opposite sides are parallel and opposite angles are equal)<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+ ALIGN=MIDDLE  ALT=\"2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >of them <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=same+ ALIGN=MIDDLE  ALT=\"same+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length+ ALIGN=MIDDLE  ALT=\"length+\"   DISABLED_style= \"max-width:90%; height:auto;\" >: \r<BR>\n" );
document.write( "\n" );
document.write( "-a rectangle ( it is a four-sided shape where every angle is a right angle 90° )\r<BR>\n" );
document.write( "\n" );
document.write( "- a parallelogram (opposite sides are parallel and equal in length, and opposite angles are equal (angles  are the same)\r<BR>\n" );
document.write( "\n" );
document.write( "-an Isosceles trapezoid ( if the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal)\r<BR>\n" );
document.write( "\n" );
document.write( "-a kite  (it has two pairs of sides, each pair is made up of adjacent sides that are equal in length) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if all have different length and one pair of opposite sides parallel it could be:\r<BR>\n" );
document.write( "\n" );
document.write( "a trapezoid  (has one pair of opposite sides parallel)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );