document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564641>Question 564641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sides of an acute triangle are x, 35, and 37, where x is the shortest side.find the range of possible values for x and express it as an inequality.<BR>\n" );
document.write( "pleases help. i have no idea where to start with this. thanks in advance for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365410 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=365410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine the side that is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+37+ ALIGN=MIDDLE  ALT=\"+37+\"   DISABLED_style= \"max-width:90%; height:auto;\" > laying flat<BR>\n" );
document.write( "on a table. The side that is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+ ALIGN=MIDDLE  ALT=\"+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is hinged<BR>\n" );
document.write( "at one end of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+37+ ALIGN=MIDDLE  ALT=\"+37+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It is free to swing<BR>\n" );
document.write( "in a plane that is perpendicular to the table.<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "If you lay it alongside the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+37+ ALIGN=MIDDLE  ALT=\"+37+\"   DISABLED_style= \"max-width:90%; height:auto;\" > side, the <BR>\n" );
document.write( "difference is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3E+2+ ALIGN=MIDDLE  ALT=\"+x+%3E+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is one limit.<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "As I swing the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+ ALIGN=MIDDLE  ALT=\"+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" > side I must stop before<BR>\n" );
document.write( "the distance from the free end of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35 ALIGN=MIDDLE  ALT=\"35\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "the unhinged end of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37 ALIGN=MIDDLE  ALT=\"37\"   DISABLED_style= \"max-width:90%; height:auto;\" > equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+ ALIGN=MIDDLE  ALT=\"+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be the shortest side<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "So, the limits are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%3C+x+%3C+35+ ALIGN=MIDDLE  ALT=\"+2+%3C+x+%3C+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope this isn't confusing </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );