document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825253>Question 825253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle have lengths (in units) x+2 and x+6. The hypotenuse has lengths (in units) 2x. Find the perimeter 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 #497158 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=497158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle have lengths (in units) x+2 and x+6. The hypotenuse has lengths (in units) 2x. Find the perimeter of the triangle.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Use Pythagoras to get:<BR>\n" );
document.write( "(2x)^2 = (x+2)^2 + (x+6)^2<BR>\n" );
document.write( "4x^2 = x^2 +4x+4 + x^2 + 12x + 36<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "2x^2 = 16x+40<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2 - 8x - 20 = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-10)(x+2) = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 10<BR>\n" );
document.write( "======<BR>\n" );
document.write( "hypotenuse = 2x = 20<BR>\n" );
document.write( "leg = x+2 = 12<BR>\n" );
document.write( "leg = x+6 = 16<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );