document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173498>Question 173498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A garden lot is in the shape of a right triangle. The hypothenuse is 30 yds. longer than twice the length of the shorter leg, and the longer leg is 20 yds. longer than twice the length of the shorter leg. What are the lengths of the three sides? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128353 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Short leg:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Long leg:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B20 ALIGN=MIDDLE  ALT=\"2x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hypotenuse: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B30 ALIGN=MIDDLE  ALT=\"2x%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Pythagoras says:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%282x%2B20%29%5E2=%282x%2B30%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%282x%2B20%29%5E2=%282x%2B30%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expand the binomials:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%5E2%2B80x%2B400=4x%5E2%2B120x%2B900 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%5E2%2B80x%2B400=4x%5E2%2B120x%2B900\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2-120x-900 ALIGN=MIDDLE  ALT=\"-4x%5E2-120x-900\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%5E2-4x%5E2%2B80x-120x%2B400-900=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%5E2-4x%5E2%2B80x-120x%2B400-900=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Collect terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-40x-500=0 ALIGN=MIDDLE  ALT=\"x%5E2-40x-500=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the quadratic.  Hint:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%29%28-50%29=-500 ALIGN=MIDDLE  ALT=\"%2810%29%28-50%29=-500\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B%28-50%29=-40 ALIGN=MIDDLE  ALT=\"10%2B%28-50%29=-40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "One of your roots will be negative.  This is an extraneous root created when we squared the variable in the process of solving the problem, so discard it.  The positive root will be the measure of the shorter leg.  The other two length measures should be simple to calculate from the relationships in the problem givens.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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