document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946673>Question 946673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lengths of the sides of a plot of land are such that the first leg is 7 miles shorter than the second leg and the hypotenuse is 1 mile longer than the second leg. Find the lengths of the sides of the plot of land?\r<BR>\n" );
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document.write( "I have worked this using Pythagorean theorem and came up with 12, 5, and 13, but I am not sure I did it right. Can anyone confirm my answers for me?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577569 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=577569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're right.<BR>\n" );
document.write( "We define a variable:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of second .leg.<BR>\n" );
document.write( ":<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7 ALIGN=MIDDLE  ALT=\"x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of second leg;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of hypotenuse.<BR>\n" );
document.write( "We apply the Pythagorean theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%28x-7%29%5E2=%28x%2B1%29%5E2%29%29%29%0D%0A%7B%7B%7Bx%5E2%2Bx%5E2-14x%2B49=x%5E2%2B2x%2B1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28x%5E2%29%2Bx%5E2-14x%2B49=cross%28x%5E2%29%2B2x%2B1 ALIGN=MIDDLE  ALT=\"cross%28x%5E2%29%2Bx%5E2-14x%2B49=cross%28x%5E2%29%2B2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x%2B49=2x%2B1 ALIGN=MIDDLE  ALT=\"x%5E2-14x%2B49=2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x-2x%2B49-1=2x%2B1-2x-1%7D%7D%0D%0A%7B%7B%7Bx%5E2-16x%2B48=0%7D%7D%0D%0AWe+solve+by+factoring%3A%0D%0A%7B%7B%7Bx%5E2-16x%2B48=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x-12%29=0 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x-12%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x-4=0%2C%22or%22%2Cx-12=0%29 ALIGN=MIDDLE  ALT=\"system%28x-4=0%2C%22or%22%2Cx-12=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=4%2C%22or%22%2Cx=12%29 ALIGN=MIDDLE  ALT=\"system%28x=4%2C%22or%22%2Cx=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7=4-7 ALIGN=MIDDLE  ALT=\"x-7=4-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7=-3 ALIGN=MIDDLE  ALT=\"x-7=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not work, because it yields a negative number for the length of the first leg.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12 ALIGN=MIDDLE  ALT=\"x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=12%2Cx-7=12-7%2Cx%2B1=12%2B1%29 ALIGN=MIDDLE  ALT=\"system%28x=12%2Cx-7=12-7%2Cx%2B1=12%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28x=12%2Cx-7=5%2Cx%2B1=13%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28x=12%2Cx-7=5%2Cx%2B1=13%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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