document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=513743>Question 513743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the area of a triangular sheet of paper is 13 square inches. one side of the triangle is 3 inches more than five times the length of the altutude to that side. find the length of that side and the altitude to that side </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343131 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Lets the altitude = x inches, then the side will be 5x+3 inches.<BR>\n" );
document.write( "As we know the area of triangle is given by the formula:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28b%2Ah%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28b%2Ah%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where b=5x+3, and h=x, substituting in our formula we get:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13=x%2A%285x%2B3%29%2F2 ALIGN=MIDDLE  ALT=\"+13=x%2A%285x%2B3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > solving this equation we get the altitude\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26=5x%5E2%2B3x ALIGN=MIDDLE  ALT=\"26=5x%5E2%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, set the equation equal to zero\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B3x-26=0 ALIGN=MIDDLE  ALT=\"5x%5E2%2B3x-26=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >Solve the equation using quadratic formula\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3%2B-sqrt%283%5E2-4%2A5%2A%28-26%29%29%2F%282%2A5%29 ALIGN=MIDDLE  ALT=\"x=-3%2B-sqrt%283%5E2-4%2A5%2A%28-26%29%29%2F%282%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x=2 (The negative root is rejected)\r<BR>\n" );
document.write( "\n" );
document.write( "To find the length of the side plug x=2, and get b=5*2+3=13\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:The length is 13 inches and the altitude to this side is 2 inches. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );