document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176903>Question 1176903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carpenters stabilize wall frames with a diagonal brace. The length of the brace is given by L=H2+W2.\r<BR>\n" );
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document.write( "If the bottom of the brace is attached 9 m from the corner and the brace is 12 m long, how far up the corner post should it be nailed?<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 #805001 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=805001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe the formula should be:\r<BR>\n" );
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document.write( "L = sqrt(H^2 + W^2)\r<BR>\n" );
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document.write( "L is the length of the brace which is the hypotenuse of the right triangle formed.<BR>\n" );
document.write( "H is the vertical height of the right triangle formed.<BR>\n" );
document.write( "W is the hoziontal length of the right triangle formed.\r<BR>\n" );
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document.write( "you are given that the brace is 9 meters from the corner of the frame.<BR>\n" );
document.write( "that corresponds to W.\r<BR>\n" );
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document.write( "you are given that the length of the brace is 12 meters long.<BR>\n" );
document.write( "that corresponds to L.\r<BR>\n" );
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document.write( "from the formula of L = sqrt(H^2 + W^2), you get:\r<BR>\n" );
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document.write( "12 = sqrt(H^2 + 9^2)\r<BR>\n" );
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document.write( "square both sides of this equation to get:\r<BR>\n" );
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document.write( "144 = H^2 + 81\r<BR>\n" );
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document.write( "subtract 81 from both sides of this equation to get:\r<BR>\n" );
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document.write( "144 - 81 = H^2\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "H^2 = 63\r<BR>\n" );
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document.write( "solve for H to get:\r<BR>\n" );
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document.write( "H = sqrt(63) = 7.937253933.\r<BR>\n" );
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document.write( "that's how far up the corner post the brace needs to go.\r<BR>\n" );
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document.write( "you could nail at that point, but, in real life, the nail will probably not be right at the intersection point.\r<BR>\n" );
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