document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827726>Question 827726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the front wall of house is in the shape of equilateral triangle. the base of the house is 10m long, how tall is the front? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498841 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=498841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The triangle is 10m on each side.<BR>\n" );
document.write( "set x = height<BR>\n" );
document.write( "Using Pythagorean theorem<BR>\n" );
document.write( " x^2 + (5 which is is 1/2 of the base)^2 = 10^2<BR>\n" );
document.write( " x^2 + 5^2  = 10^2<BR>\n" );
document.write( " x^2 + 25 = 100<BR>\n" );
document.write( "subtract 25 from each side<BR>\n" );
document.write( " x^2 = 75<BR>\n" );
document.write( " x = sqrt(75) = 8.66m </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );