document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191537>Question 1191537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle has two sides of length 1 and 13. What is the largest possible whole-number length for the third side\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823328 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=823328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "a = 1 and b = 13 are the known sides of the triangle.<BR>\n" );
document.write( "c is the missing side.\r<BR>\n" );
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document.write( "Due to the modified version of the triangle inequality theorem, we could say,<BR>\n" );
document.write( "b-a < c < b+a<BR>\n" );
document.write( "13-1 < c < 13+1<BR>\n" );
document.write( "12 < c < 14\r<BR>\n" );
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document.write( "If c is restricted to whole numbers only, then c = 13 is the only possibility.\r<BR>\n" );
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document.write( "Answer: 13<BR>\n" );
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