document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896909>Question 896909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the lengths of any two sides of a triangle is greater than<BR>\n" );
document.write( "the length of the third side. In triangle ABC, BC = 4 and AC = 8 - AB. What can<BR>\n" );
document.write( "you conclude about AB?\r<BR>\n" );
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document.write( "Answer : 2 < AB < 6\r<BR>\n" );
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document.write( "Please show me work/explanation to get to this answer, 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 #543848 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=543848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the lengths of any two sides of a triangle is greater than<BR>\n" );
document.write( " the length of the third side. <BR>\n" );
document.write( "In triangle ABC, BC = 4 and AC = 8-AB . <BR>\n" );
document.write( "What can you conclude about AB?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Using the fact stated above you get:<BR>\n" );
document.write( "BC + AC > AB<BR>\n" );
document.write( "4 + 8-AB > AB<BR>\n" );
document.write( "Adding AB to both sides you get:<BR>\n" );
document.write( "12 > 2*AB<BR>\n" );
document.write( "Then AB < 6<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Also 4 + AB > 8-AB<BR>\n" );
document.write( "Then 2AB > 4<BR>\n" );
document.write( "AB > 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Putting those together you get:<BR>\n" );
document.write( "2 < AB < 6<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );