document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907475>Question 907475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is <BR>\n" );
document.write( "5inches<BR>\n" );
document.write( " long. The longer leg is <BR>\n" );
document.write( "1inch<BR>\n" );
document.write( " longer than the shorter leg. Find the side lengths of the triangle.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550410 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=550410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 5 inches long. The longer leg is 1 inch<BR>\n" );
document.write( "longer than the shorter leg. Find the side lengths of the triangle.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=length of shorter leg<BR>\n" );
document.write( "x+1=length of longer leg<BR>\n" );
document.write( "using pythagorean theorem:<BR>\n" );
document.write( "x^2+(x+1)^2=5^2<BR>\n" );
document.write( "x^2+x^2+2x+1=25<BR>\n" );
document.write( "2x^2+2x-24=0<BR>\n" );
document.write( "x^2+x-12=0<BR>\n" );
document.write( "(x+4)(x-3)=0<BR>\n" );
document.write( "x=-4 (reject)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "x+1=4<BR>\n" );
document.write( "length of shorter leg=3<BR>\n" );
document.write( "length of longer leg=4<BR>\n" );
document.write( "note: This is a 3-4-5 right triangle </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );