document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049180>Question 1049180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The longer leg of a right triangle is 1 inch longer than the shorter leg. The hypotenuse is 9 inches longer than the shorter leg. Find the side length of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664726 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel555><B>jorel555(1290)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel555><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=664726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n be the length of the shortest leg. Then the other leg is n+1; and the hypotenuse is n+9. So:<BR>\n" );
document.write( "n²+(n+1)²=(n+9)²<BR>\n" );
document.write( "2n²+2n+1=n²+18n+81<BR>\n" );
document.write( "n²-16n-80=0<BR>\n" );
document.write( "(n-20)(n+4)=0<BR>\n" );
document.write( "n=20 or -4<BR>\n" );
document.write( "Throwing out the negative result, we get the length of the shorter leg to be 20 inches, the longer leg to be 21 inches, and the hypotenuse is 29 inches. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );