document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148013>Question 148013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One side of a rectangular stage is 2 meters longer than the other.If the diagonal is 10 meters, then what are the lenghths of the sides? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108400 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=108400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help<BR>\n" );
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document.write( "One side of a rectangular stage is 2 meters longer than the other.If the diagonal is 10 meters, then what are the lengths of the sides?<BR>\n" );
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document.write( "First you will need to draw a rectangle, with a line in the middle, going from one corner to the other<BR>\n" );
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document.write( "We can look and see that it makes two triangles, they are both right triangles.<BR>\n" );
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document.write( "We can use the Pythagorean theorem,<BR>\n" );
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document.write( "The shorter side is \"x\", the longer side is two more than the shorter,or (x + 2)<BR>\n" );
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document.write( "We can replace \"a\" and \"b\" in the Pythagorean theorem, \"a\" and \"b\" are the sides<BR>\n" );
document.write( ", \"c\" is the hypotenuse, or diagonal<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B2%29%5E2%2Bx%5E2=100+ ALIGN=MIDDLE  ALT=\"+%28x%2B2%29%5E2%2Bx%5E2=100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can now solve it even more<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+4x+%2B4%2Bx%5E2=100+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+4x+%2B4%2Bx%5E2=100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+%2B+4x+%2B4=100+ ALIGN=MIDDLE  ALT=\"+2x%5E2+%2B+4x+%2B4=100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can divide everything by \"2\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+%2B2=50+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+%2B2=50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move the 50 over to the left side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+%2B2-50=50-50+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+%2B2-50=50-50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+-48=0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+-48=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can factor this quadratic equation to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B8%29%28x-6%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28x%2B8%29%28x-6%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >( (-6) + 8 = 2 )<BR>\n" );
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document.write( "We can now solve for \"x\", taking one factor at a time<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-8+ ALIGN=MIDDLE  ALT=\"+x+=+-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The next factor<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x-6+=+0+ ALIGN=MIDDLE  ALT=\"+x-6+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x-6+%2B+6+=+0+%2B+6+ ALIGN=MIDDLE  ALT=\"+x-6+%2B+6+=+0+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+6+ ALIGN=MIDDLE  ALT=\"+x+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "x can be either (-8), or 6<BR>\n" );
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document.write( "Our \"x\" is = 6 meters ( measurements can't be negative)<BR>\n" );
document.write( "The shorter side was \"x\" or 6 meters, our longer side is (x+2) or 8 meters<BR>\n" );
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document.write( "You can check by replacing \"a\" and \"b\" in the Pythagorean theorem<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%5E2%2B6%5E2=10%5E2+ ALIGN=MIDDLE  ALT=\"+8%5E2%2B6%5E2=10%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Shorter Side = 6 meters<BR>\n" );
document.write( "Longer Side = 8 meters<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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