document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68052>Question 68052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the length of X. Express in simplified radical form.<BR>\n" );
document.write( "I will try to draw this out so it makes it easier:\r<BR>\n" );
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document.write( "                                 -<BR>\n" );
document.write( "                             -   -<BR>\n" );
document.write( "                         -       -<BR>\n" );
document.write( "                     -           -<BR>\n" );
document.write( "         51ft   -                -  X<BR>\n" );
document.write( "           -                     -<BR>\n" );
document.write( "       -                     -----<BR>\n" );
document.write( "  -                          -   -<BR>\n" );
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document.write( "               45 ft\r<BR>\n" );
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document.write( "How do I go about solving this type of equation? Thank you so very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48529 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the length of X. Express in simplified radical form.<BR>\n" );
document.write( "I will try to draw this out so it makes it easier:\r<BR>\n" );
document.write( "\n" );
document.write( "                                 -<BR>\n" );
document.write( "                             -   -<BR>\n" );
document.write( "                         -       -<BR>\n" );
document.write( "                     -           -<BR>\n" );
document.write( "         51ft   -                -  X<BR>\n" );
document.write( "           -                     -<BR>\n" );
document.write( "       -                     -----<BR>\n" );
document.write( "  -                          -   -<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "               45 ft\r<BR>\n" );
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document.write( "How do I go about solving this type of equation? Thank you so very much!<BR>\n" );
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document.write( "I assume this is a right triangle, one side is 45 ft, hypotenuse is 51,<BR>\n" );
document.write( "The problem is to find the other side (x)<BR>\n" );
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document.write( "You should know the Pythagorean Theorem: a^2 + b^2 = c^2<BR>\n" );
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document.write( "In your problem a = 45 and c = 51, b = x so we have this equation:<BR>\n" );
document.write( "45^2 + x^2 = 51^2<BR>\n" );
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document.write( "2025 + x^2 = 2601; squared the numbers<BR>\n" );
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document.write( "x^2 = 2601 - 2035; subtract 2025 from both sides<BR>\n" );
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document.write( "x^2 = 576<BR>\n" );
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document.write( "x = Sqrt(576)<BR>\n" );
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document.write( "x = 24 ft<BR>\n" );
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document.write( "Check: 45^2 + 24^2 = 2601 which is 51^2 </SPAN>\n" );
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