document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=839745>Question 839745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the base of a triangle exceeds the height by 9 centimeters. if the area is 161 square centimeters, find the length of the bas and the height of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505817 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=505817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let b = base<BR>\n" );
document.write( " h = height<BR>\n" );
document.write( "b = h + 9<BR>\n" );
document.write( "area = (1/2)(b)(h)<BR>\n" );
document.write( "substituting<BR>\n" );
document.write( "area = (1/2)(h + 9)(h)<BR>\n" );
document.write( "161 = (1/2)(h + 9)(h)<BR>\n" );
document.write( "161 = (1/2)(h^2 + 9h)<BR>\n" );
document.write( "multiply each side by 2<BR>\n" );
document.write( "322 = h^2 + 9h<BR>\n" );
document.write( "add -322 to each side<BR>\n" );
document.write( "0 = h^2 + 9h - 322<BR>\n" );
document.write( "0 = (h+23)(h-14)<BR>\n" );
document.write( "h = -23 or h = 14<BR>\n" );
document.write( "Since we need a positive length we want h = 14<BR>\n" );
document.write( "Since b = h + 9<BR>\n" );
document.write( "b = 14 + 9 = 23<BR>\n" );
document.write( "The base is 23 and height is 14<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );