document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732184>Question 732184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle has two sides that measure 4.56 cm and 8.65 cm. Which could be the measure of the third side?<BR>\n" );
document.write( "	A.	3.95 cm<BR>\n" );
document.write( "	B.	10.31 cm<BR>\n" );
document.write( "	C.	13.21 cm<BR>\n" );
document.write( "	D.	20.25 cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852928 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53431)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A triangle has two sides that measure 4.56 cm and 8.65 cm. Which could be the measure of the third side?<BR>\n" );
document.write( "A. 3.95 cm<BR>\n" );
document.write( "B. 10.31 cm<BR>\n" );
document.write( "C. 13.21 cm<BR>\n" );
document.write( "D. 20.25 cm<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This is a good problem on triangles, &nbsp;but it has a &nbsp;TRAP, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;so it requires an accuracy.\r<BR>\n" );
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document.write( "According to the triangle inequalities, \r\n" );
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document.write( "    - the third side of a triangle  is always shorter than the sum of two other sides,\r\n" );
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document.write( "    - and the third side of a triangle is always longer than the difference of two other sides.\r\n" );
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document.write( "In this given problem, the sum of the measures of two given sides is 4.56 + 8.65 = 13.21 cm.\r\n" );
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document.write( "    THEREFORE, third side can not be (C) or (D).\r\n" );
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document.write( "In this given problem, the difference of the measures of two given sides is 8.65 - 4.56 = 4.09 cm.\r\n" );
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document.write( "    THEREFORE, third side can not be (A).\r\n" );
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document.write( "By exclusion, of four given options, only (B) satisfies the condition.\r\n" );
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document.write( "So, the correct answer is (B).\r\n" );
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document.write( "Solved, with explanations.\r<BR>\n" );
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document.write( "The answer in the post by @lynnlo is incorrect.\r<BR>\n" );
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document.write( "So, simply ignore his post.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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