document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161189>Question 161189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not certain if I need to use the a^ +b^ =c and then use a radical expression to reduce.<BR>\n" );
document.write( "One side of a rectangular stage is<BR>\n" );
document.write( "2 meters longer than the other. If the diagonal is 10 meters,<BR>\n" );
document.write( "then what are the lengths of the sides?<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Tracy<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 #118835 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=118835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One side of a rectangular stage is 2 meters longer than the other.<BR>\n" );
document.write( " If the diagonal is 10 meters, then what are the lengths of the sides?<BR>\n" );
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document.write( "Actually it's:<BR>\n" );
document.write( " a^2 + b^2 = c^2<BR>\n" );
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document.write( "In this problem call one side x: <BR>\n" );
document.write( "Let x = a<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+2) = b<BR>\n" );
document.write( "and <BR>\n" );
document.write( "c = 10<BR>\n" );
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document.write( "Substituting in our formula:<BR>\n" );
document.write( "x^2 + (x+2)^2 = 10^2<BR>\n" );
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document.write( "FOIL (x+2)(x+2)<BR>\n" );
document.write( "x^2 + (x^2 + 4x + 4) = 100<BR>\n" );
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document.write( "Combine like terms, arrange as a quadratic equation<BR>\n" );
document.write( "x^2 + x^2 + 4x + 4 - 100 = 0<BR>\n" );
document.write( "2x^2 + 4x - 96 = 0<BR>\n" );
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document.write( "Factor<BR>\n" );
document.write( "(2x - 12)(x + 8) = 0<BR>\n" );
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document.write( "We want the positive solution here<BR>\n" );
document.write( "2x = 12<BR>\n" );
document.write( "x = 6 meters is the 1st side<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6 + 2 = 8 meters is the 2nd side<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can check that: 6^2 + 8^2 = 10^2<BR>\n" );
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document.write( "Was this understandable? Any questions?\r<BR>\n" );
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