document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=527470>Question 527470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 13 units. If the length of one leg is 2 more than twice the other, then what are their lengths? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348916 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=348916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 13 units. If the length of one leg is 2 more than twice the other, then what are their lengths?<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "leg 1: x<BR>\n" );
document.write( "leg 2: 2x+2<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2 + (2x+2)^2 = 13^2<BR>\n" );
document.write( "x^2 + 4x^2 + 8x + 4 = 169<BR>\n" );
document.write( "5x^2 + 8x - 165 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Use the quadratic formula to solve:<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "leg 1: x = 5<BR>\n" );
document.write( "leg 2: 2x+2 = 12<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );