document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548519>Question 548519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 20-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 4 ft longer than the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357037 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=357037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = height<BR>\n" );
document.write( "x+4 = width<BR>\n" );
document.write( "20 = hypotenuse<BR>\n" );
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document.write( "20^2 = x^2 + (x+4)^2<BR>\n" );
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document.write( "400 = x^2 + x^2 + 8x + 16<BR>\n" );
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document.write( "0 = 2x^2 +8x - 384<BR>\n" );
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document.write( "2x^2 +8x - 384 = 0<BR>\n" );
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document.write( "x^2 + 4x -192 = 0<BR>\n" );
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document.write( "factor<BR>\n" );
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document.write( "(x-12)(x+16) = 0<BR>\n" );
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document.write( "zeroes of x = 12 or -16<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28500%2C500%2C-20%2C20%2C-200%2C50%2Cx%5E2%2B4%2Ax-192%29+ ALIGN=MIDDLE  ALT=\"+graph%28500%2C500%2C-20%2C20%2C-200%2C50%2Cx%5E2%2B4%2Ax-192%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "x = -16 is not applicable<BR>\n" );
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document.write( "x = 12 is the height of the span<BR>\n" );
document.write( "x+4 = 16 is the width of the span<BR>\n" );
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document.write( "Check using the Pythagorean formula.<BR>\n" );
document.write( "12^2 + 16^2 = 144+256 = 400<BR>\n" );
document.write( "20^2 = 400<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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