document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265516>Question 265516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the hypotenuse of a right triangle is 26 feet long.one leg is fourteen feet longer than the other.find the lentgh of the shorter leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195221 by </B><A HREF=/tutors/aboutme.mpl?userid=roseo><B>roseo(33)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=roseo><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=195221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let one side of the triangle be x and then the other leg of the triangle will be x+14.  By using the Pythagorean Theorem we would have<BR>\n" );
document.write( "x^2+(x+14)^2=26^2<BR>\n" );
document.write( "x^2 +x^2+28x+196 = 676<BR>\n" );
document.write( "By combining like terms and putting everything on one side we have<BR>\n" );
document.write( "2x^2+28x-480=0<BR>\n" );
document.write( "To simplify divide both sides by 2<BR>\n" );
document.write( "x^2+14x-240=0<BR>\n" );
document.write( "By factoring we have<BR>\n" );
document.write( "(x+24)(x-10)=0<BR>\n" );
document.write( "So the x+24=0 and x-10=0, therefore<BR>\n" );
document.write( "x=-24 and x=10,<BR>\n" );
document.write( "x=-24 is a nonsense answer be the side of a triangle cannot have a negative measure so one leg of the triangle is 10 and the other would be x+14 or 24. </SPAN>\n" );
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