document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=514197>Question 514197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle has a base length of 13 and its two ther sides are equal in length. If the lengths of the sides of the triangle are integers, what is the shortest possible length of a side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343321 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "A triangle has a base length of 13 and its two ther sides are equal in length. If the lengths of the sides of the triangle are integers, what is the shortest possible length of a side?\r<BR>\n" );
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document.write( "Based on the triangular inequality theorem, a side of a triangle ranges from a value that is more than the difference of the other two sides but less than their sum.\r<BR>\n" );
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document.write( "Let one of the equal sides be S\r<BR>\n" );
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document.write( "Then the other = S\r<BR>\n" );
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document.write( "In this case, since the unequal base side = 13, then one of the equal sides, or S > 13 - S\r<BR>\n" );
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document.write( "We have: S + S > 13\r<BR>\n" );
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document.write( "2S > 13 ------ S > 13/2, or 6.5\r<BR>\n" );
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document.write( "Now, since we’re looking for the SMALLEST possible integer, then one of the equal sides will have a value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287%29 ALIGN=MIDDLE  ALT=\"highlight_green%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (smallest integer > 6.5) units.\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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