document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885365>Question 885365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A section on the playground is in the shape of a triangle and has an area of 24 square feet. If the base is four more than twice the height, what is the measure of the height?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535105 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area of a triangle is equal to 1/2 * base * height.<BR>\n" );
document.write( "area = 24<BR>\n" );
document.write( "base = 4 * height.<BR>\n" );
document.write( "formula of area = 1/2 * base * height becomes:<BR>\n" );
document.write( "area = 1/2 * 4 * height * height which becomes:<BR>\n" );
document.write( "24 = 2 * height squared which becomes:<BR>\n" );
document.write( "12 = height squared which becomes height = square root of 12.<BR>\n" );
document.write( "you have:<BR>\n" );
document.write( "area = 24<BR>\n" );
document.write( "base = 4 * sqrt(12)<BR>\n" );
document.write( "height = sqrt(12)<BR>\n" );
document.write( "area = 1/2 * base * height = 1/2 * 4 * sqrt(12) * sqrt(12) = 1/2 * 4 * 12 = 2 * 12 = 24.<BR>\n" );
document.write( "numbers check out.<BR>\n" );
document.write( "base = 4 * sqrt(12)<BR>\n" );
document.write( "height = sqrt(12) </SPAN>\n" );
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