document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185814>Question 1185814</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mark wants to make a unique triangular design that will cover the vacant space of his bedroom wall. His mother, Annie, suggests a right triangle design will be a perfect fit. She suggests that hypotenuse should be at least 15ft and one leg is 3ft shorter than the other. What is the length of the longer leg? With Solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816663 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The statement of the problem as shown is defective; there are an infinite number of right triangles that satisfy the given requirements.<br><BR>\n" );
document.write( "Let the longer leg be x; then the shorter leg is x-3.  The hypotenuse needs to be at least 15.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x-3%29%5E2%3E=15%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x-3%29%5E2%3E=15%5E2\"   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%2Bx%5E2-6x%2B9%3E=225 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2-6x%2B9%3E=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-6x-216%3E=0 ALIGN=MIDDLE  ALT=\"2x%5E2-6x-216%3E=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%5E2-3x-108%3E=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x-108%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-12%29%28x%2B9%29%3E=0 ALIGN=MIDDLE  ALT=\"%28x-12%29%28x%2B9%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "x is greater than 12 or x is less than -9.  Obviously the negative number makes no sense.<br><BR>\n" );
document.write( "ANSWER: the longer leg can be ANY length greater than 12 feet.<br><BR>\n" );
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