document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=788667>Question 788667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right triangle's height is 3 times the length of its base. If the area of the triangle is 486, what is the height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478581 by </B><A HREF=/tutors/aboutme.mpl?userid=waynest><B>waynest(281)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=waynest><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=478581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> height = 3x<BR>\n" );
document.write( "base = x<BR>\n" );
document.write( "Area = 486<BR>\n" );
document.write( "formula = 1/2bh<BR>\n" );
document.write( "1/2(x)(3x) = 486<BR>\n" );
document.write( "1/2(3x^2) = 486<BR>\n" );
document.write( "2(1/2)(3x^2) = 2(486)<BR>\n" );
document.write( "3x^2 = 972<BR>\n" );
document.write( "3x^2/3 = 972/3<BR>\n" );
document.write( "x^2 = 324<BR>\n" );
document.write( "sqrtx^2 = sqrt324<BR>\n" );
document.write( "x = 18\r<BR>\n" );
document.write( "\n" );
document.write( "check:\r<BR>\n" );
document.write( "\n" );
document.write( "1/2(18)(3(18)) = 486<BR>\n" );
document.write( "1/2(18)(54) = 486<BR>\n" );
document.write( "1/2(972) = 486<BR>\n" );
document.write( "486 = 486 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );