document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246855>Question 246855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One leg of an isosceles triangle has a length of (x2 + 9)cm.  The base of the isosceles triangle has a length of (5x + 12)cm.  The perimeter of the triangle is 42 cm.  Find the value(s) for x and the lengths of the sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180170 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If it is an isosceles triangle, then the two legs have to be equal.  So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 9\ +\ x^2\ +\ 9\ +\ 5x\ +\ 12\ =\ 42\">\r<BR>\n" );
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document.write( "Collect like terms, put the quadratic in standard form, and solve.  The quadratic factors.  One of the roots will be negative, so discard it -- a negative measure for the side of a triangle is absurd.  Substitute the positive root in the expressions for your triangle sides and do the arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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