document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007682>Question 1007682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In right triangleABC , the length of the hypotenuse is 25 and the lengths of the legs are x and 3x + 3. What is<BR>\n" );
document.write( "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 #623523 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=623523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In right triangle ABC , the length of the hypotenuse is 25 and the lengths of the legs are x and 3x + 3. What is<BR>\n" );
document.write( "the perimeter of the triangle?<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Solve for \"x\"::<BR>\n" );
document.write( "x^2 + (3x+3)^2 = 25^2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x^2 + 9x^2 + 18x + 9 - 625 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "10x^2 + 18x - 616 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "5x^2 + 9x - 308 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x-7)(5x+44) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "x = 7<BR>\n" );
document.write( "3x+3 = 24<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Ans: Perimeter = 25 + 24 + 7 = 56<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" );