document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285867>Question 285867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One side of a triangle is 2 cm shorter than the base. The other side is 3 cm longer than the base. What lengths of the base will allow the perimeter to be greater than 19 cm?  Show your work and explain your answer. \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 #207293 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=207293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One side of a triangle is 2 cm shorter than the base. The other side is 3 cm longer than the base. What lengths of the base will allow the perimeter to be greater than 19 cm? Show your work and explain your answer. <BR>\n" );
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document.write( "Draw the triangle.<BR>\n" );
document.write( "Let the base be \"x\":<BR>\n" );
document.write( "Let a shorter side be \"x-2\"<BR>\n" );
document.write( "Let the 3rd side be \"x+3\".<BR>\n" );
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document.write( "Perimeter = 19 = x + x-2+x+3<BR>\n" );
document.write( "19 = 3x+1<BR>\n" );
document.write( "3x = 18<BR>\n" );
document.write( "x = 6 cm (base)<BR>\n" );
document.write( "x-2 = 4 cm (shorter side)<BR>\n" );
document.write( "x+3 = 9 cm (longer side)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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