document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205301>Question 1205301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> is it possible for a triangle to have sides of 6 inches 12 inches and 17 inches?<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 #842002 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52818)</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=842002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "The necessary and sufficient condition for a triangle with side lengths \"a\", \"b\" and \"c\" to exist\r\n" );
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document.write( "is fulfillment of all three \"triangle inequalities\"\r\n" );
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document.write( "    a + b > c,\r\n" );
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document.write( "    a + c > b,\r\n" );
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document.write( "    b + c > a.\r\n" );
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document.write( "In your case, all three triangle inequalities are satisfied - hence, such triangle does exist.\r\n" );
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document.write( "It can be constructed using a compass and a straightedge (a standard procedure).\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved, with explanations.\r<BR>\n" );
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document.write( "On triangle inequalities, &nbsp;see the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Points-lines-and-rays/Points-and-Straight-Lines-basics.lesson>Points and Straight Lines basics</A> \r<BR>\n" );
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document.write( "in this site, &nbsp;Theorem 2.\r<BR>\n" );
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document.write( "You will be surprised to learn that triangle inequalities are very first corollaries from the basic axioms of Geometry.\r<BR>\n" );
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document.write( "On basic procedures of constructing triangles using a compass and a straightedge see the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/How-to-draw-a-congruent-triangle-using-a-compass-and-a-ruler.lesson>How to construct a triangle using a compass and a ruler</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Learn the subject from there.\r<BR>\n" );
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