document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141057>Question 141057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the base and height of a triangle is 25 cm. What is the maximum area 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 #102753 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he sum of the base and height of a triangle is 25 cm. What is the maximum area of the triangle? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = length of the base<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(25-x) = length of the height<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area = .5*L*B<BR>\n" );
document.write( "Substituting of L and B<BR>\n" );
document.write( "A = .5x(25-x)<BR>\n" );
document.write( "A = 12.5x - .5x^2<BR>\n" );
document.write( "As a quadratic equation find the axis of symmetry x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%28-b%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "a=-.5<BR>\n" );
document.write( "b= 12.5<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12.5%2F%282%2A-.5%29 ALIGN=MIDDLE  ALT=\"-12.5%2F%282%2A-.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.5%2F1 ALIGN=MIDDLE  ALT=\"12.5%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = + 12.5 is base for max area<BR>\n" );
document.write( "then<BR>\n" );
document.write( "25 - 12.5 = 12.5 is the length for max area<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A = .5 * 12.5 * 12.5<BR>\n" );
document.write( "A = 78.25 sq cm is max area<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );