document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386942>Question 386942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 100-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 20 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace\r<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 #273474 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=273474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A 100-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 20 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace\r<BR>\n" );
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document.write( "The diagonal (d) horizontal span (h)and the vertical support(v) form a right triangle<BR>\n" );
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document.write( "h=(v+20)<BR>\n" );
document.write( "d^2=v^2+h^2<BR>\n" );
document.write( "(100)^2=v^2+(v+20)^2<BR>\n" );
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document.write( "100^2=v^2+v^2+40v+400<BR>\n" );
document.write( "2v^2+40v+400-10000=0<BR>\n" );
document.write( "2v^2+40v-9600=0<BR>\n" );
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document.write( "v^2+20v-4800=0<BR>\n" );
document.write( "v^2+80v-60x-4800=0<BR>\n" );
document.write( "v(v+80)-60(v+80)=0<BR>\n" );
document.write( "(v+80)(v-60)=0<BR>\n" );
document.write( "v = 60 feet the vertical height<BR>\n" );
document.write( "horizontal span = 80 feet<BR>\n" );
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document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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