document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208494>Question 208494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width if a triangle is fixed at 13cm. What lengths will make the perimeter greater than 88cm? Although I initially thought this solution could be easy, I am second guessing myself. My thought process feels me the answer could be 30cm since the perimeter would be 90. IDK-I've been struggling w/ Algebra & geometry for weeks now. Is there an easy way to fibnd the right solution? TY-Angel </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157710 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=157710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The width if a triangle is fixed at 13cm. What lengths will make the perimeter greater than 88cm? Although I initially thought this solution could be easy, I am second guessing myself.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Let the lengths of the unknown sides be x and y.<BR>\n" );
document.write( "Then x + y + 13 > 88<BR>\n" );
document.write( "So x + y > 75<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "There is another condition.<BR>\n" );
document.write( "In order to have a triangle the sum of any two sides must be greater<BR>\n" );
document.write( "than the 3rd side.<BR>\n" );
document.write( "So x+13 > y<BR>\n" );
document.write( "and <BR>\n" );
document.write( "y +13 > x<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Rearranging these three inequalities you get:<BR>\n" );
document.write( "y > -x + 75<BR>\n" );
document.write( "y < x+ 13<BR>\n" );
document.write( "y > x - 13<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Graph these three boundaries:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-100%2C100%2C-100%2C100%2C-x%2B75%2Cx%2B13%2Cx-13%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-100%2C100%2C-100%2C100%2C-x%2B75%2Cx%2B13%2Cx-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Shade the half-plane above y > -x+75<BR>\n" );
document.write( "Shade the half-plane below y < x+13<BR>\n" );
document.write( "Shade the half-plane above y > x-13<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Find the intersection of y = x+13 with y = -x+75: (31,44)<BR>\n" );
document.write( "Find the intersection of y = x-13 with y = -x+75: (44,31)<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "31<x<44<BR>\n" );
document.write( "31<y<44<BR>\n" );
document.write( "where x + y = 75<BR>\n" );
document.write( "===================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Send any response to this to stanbon@comcast.net as the feedback<BR>\n" );
document.write( "function of algebra.com is not working.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );