document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=957123>Question 957123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the maximum area of a triangle having 15 cm as the sum of its base and height ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585122 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=585122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is the equivalent of asking the maximum product for two numbers whose sum is 15.<BR>\n" );
document.write( "Let x=base and y=height<BR>\n" );
document.write( "x+y=15<BR>\n" );
document.write( "y=15-x<BR>\n" );
document.write( "f(x)=xy=x(15-x) <BR>\n" );
document.write( "f(x)=15x-x^2 Differentiate this function.<BR>\n" );
document.write( "f'(x)=15-2x Maximum value of f(x) occurs when f'(x)=0<BR>\n" );
document.write( "0=15-2x Add 2x to each side.<BR>\n" );
document.write( "2x=15<BR>\n" );
document.write( "x=7.5 ANSWER 1: The base is 7.5 cm<BR>\n" );
document.write( "y=15-x=15-7.5=7.5 ANSWER 2: The height is is 7.5 cm<BR>\n" );
document.write( "The length of base and height for maximum area would both be 7.5 cm.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );