document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088557>Question 1088557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The shorter leg of a right triangle is 6m shorter than the longer leg. The hypotenuse is 6m longer than the longer leg. Find the side lengths of the triangle. \r<BR>\n" );
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document.write( "Find the length of shorter leg, find the length of longer leg and the length of hypotenuse </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702842 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the short leg be n. Then the longer leg would be n+6; and the hypotenuse would be n+12. Then:<BR>\n" );
document.write( "n²+(n+6)²=(n+12)²<BR>\n" );
document.write( "n²+n²+12n+36=n²+24n+144<BR>\n" );
document.write( "n²-12n-108=0<BR>\n" );
document.write( "(n-18)(n+6)=0<BR>\n" );
document.write( "n=18 or -6<BR>\n" );
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