document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=500772>Question 500772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a triangular sheet of paper is 18 square inches. One side of the triangle is 14 inches more than two times the length of the altitude to that side. Find the length of that side and the altitude to that side. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I have looked at the examples on here and struggled even with their guidance as to where some of the numbers come from so far I have..\r<BR>\n" );
document.write( "\n" );
document.write( "base=2a+14<BR>\n" );
document.write( "Altitude=a <BR>\n" );
document.write( "area= 18\r<BR>\n" );
document.write( "\n" );
document.write( "so.. 2a+14= 18... so 2a=4.. I'm just very lost.<BR>\n" );
document.write( "Then I got 2x^2+14x-36=0 but when I tried to solve for it nothing was divisible by -18 that would equal 7 after you take a 2 out of the above question.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338272 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=338272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The area of a triangle is the base times the altitude divided by 2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your expression for the base is spot on, but you didn't multiply by the altitude nor did you divide by 2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But then you somehow came up with the correct quadratic equation somewhere out of thin air.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's follow the steps to get there first:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Base: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2a\ +\ 14\"><BR>\n" );
document.write( "Altitude: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\"><BR>\n" );
document.write( "Area: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 18\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{(2a\ +\ 14)a}{2}\ =\ 18\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2a^2\ +\ 14a\ =\ 36\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2a^2\ +\ 14a\ -\ 36\ =\ 0\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Divide by 2:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ a^2\ +\ 7a\ -\ 18\ =\ 0\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -2\ \times\ 9\ =\ -18\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -2\ +\ 9\ =\ 7\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You should be able to get it from there.  Remember to toss out the negative root.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );