document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146958>Question 146958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Diagnal brace. The width of a retangular gate is 2 meters (m) larger than its heiht. The diagonal brace measures (Square root) 6 m. Find the width 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 #107569 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have a right triangle of height h, width h+2, and hypotenuse sqrt(6).<BR>\n" );
document.write( "a^2+b^2=c^2<BR>\n" );
document.write( "h^2+(h+2)^2=sqrt(6)^2<BR>\n" );
document.write( "h^2+h^2+4h+4=6<BR>\n" );
document.write( "2h^2+4h-2=0<BR>\n" );
document.write( "2(h^2+2h-1)=0<BR>\n" );
document.write( "h^2+2h     =1<BR>\n" );
document.write( "h^2+2h+1=1+1 completing the square.<BR>\n" );
document.write( "(h+1)^2=2<BR>\n" );
document.write( "h+1=+-sqrt(2) Square root of each side.<BR>\n" );
document.write( "h= -1+sqrt(2) m<BR>\n" );
document.write( "w= 1+sqrt(2) m<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );