document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238349>Question 238349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the range of possible values for the third side of a triangle with sides 2 cm and 5cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175140 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine that the sides are connected at one end and laying<BR>\n" );
document.write( "right on top of eachother. Then imagine that one of the sides<BR>\n" );
document.write( "is rotated a tiny fraction of a degree. The sides are now<BR>\n" );
document.write( "<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=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+2+=+3 ALIGN=MIDDLE  ALT=\"5+-+2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > plus a tiny length.<BR>\n" );
document.write( "Arranged this way, the 3rd side can't be smaller than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm<BR>\n" );
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document.write( "Now leave the given sides connected at one end, but rotate them<BR>\n" );
document.write( "so they are 180 degrees opposite eachother. They now add up to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2B+5+=+7 ALIGN=MIDDLE  ALT=\"2+%2B+5+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now rotate one of the sides a tiny fraction<BR>\n" );
document.write( "of a degree. The sides are now <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=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+%2B+2+=+7 ALIGN=MIDDLE  ALT=\"5+%2B+2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > minus a tiny length.<BR>\n" );
document.write( "Arranged this way, the 3rd side can't be greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm<BR>\n" );
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document.write( "The 3rd side has to be in this range, 3 cm to 7 cm<BR>\n" );
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