document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206181>Question 1206181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Select all of the following that can be used to construct a triangle if two sides of<BR>\n" );
document.write( "the triangle have lengths of 7 centimeters and 10 centimeters (cccc).<BR>\n" );
document.write( " 3 cm<BR>\n" );
document.write( " 7 cm<BR>\n" );
document.write( " 10 cm<BR>\n" );
document.write( " 17 cm<BR>\n" );
document.write( " 18 cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843441 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52810)</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=843441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Select all of the following that can be used to construct a triangle if two sides of<BR>\n" );
document.write( "the triangle have lengths of 7 centimeters and 10 centimeters.<BR>\n" );
document.write( "(a) 3 cm<BR>\n" );
document.write( "(b) 7 cm<BR>\n" );
document.write( "(c) 10 cm<BR>\n" );
document.write( "(d) 17 cm<BR>\n" );
document.write( "(e) 18 cm<BR>\n" );
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document.write( "In order for three segments of the given length could form a triangle, \r\n" );
document.write( "the triangle inequalities must be valid:\r\n" );
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document.write( "    |      The sum of the lengths of any two sides        |\r\n" );
document.write( "    |    is greater than the length of the third side.    |\r\n" );
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document.write( "Having it, we see that\r\n" );
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document.write( "(a)  triangle (7,10,3) is not possible, since 7+3 is equal to 10, but is not greater than 10.\r\n" );
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document.write( "(b)  triangle (7,10,7) is possible, since all three triangle inequalities are satisfied.\r\n" );
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document.write( "(c)  triangle (7,10,10) is possible, since all three triangle inequalities are satisfied.\r\n" );
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document.write( "(d)  triangle (7,10,17) is not possible, since 7+10 is equal to 17, but is not greater than 17.\r\n" );
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document.write( "(e)  Solve it on your own, based on given instructions.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "The solution is fully explained.\r<BR>\n" );
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document.write( "It may be interesting to you to learn that the triangle inequality is in one logical step<BR>\n" );
document.write( "from the axiom, &nbsp;saying that the straight line is the shortest distance between two points in a plane.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;! &nbsp;Only one logical step &nbsp;!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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