document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890977>Question 890977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle have length x and 3x-5 and the hypotenuse has length x+2. Find the value of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539393 by </B><A HREF=/tutors/aboutme.mpl?userid=dkppathak><B>dkppathak(439)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkppathak><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/cgi-bin/show-face.mpl?user=dkppathak><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle have length x and 3x-5 and the hypotenuse has length x+2. Find the value of x.<BR>\n" );
document.write( " (x+2)^2= X^2 +(3x-5)^2<BR>\n" );
document.write( "X^2+4+4X=X^2+9X^2 +25-30X<BR>\n" );
document.write( "10X^2-30X+25-X^2-4X-4=0<BR>\n" );
document.write( "9X^2-34X+21=0<BR>\n" );
document.write( "9X^2-27X-7X+21=0<BR>\n" );
document.write( "(9X-7)(x-3)=0<BR>\n" );
document.write( "x=7/9 or x=3 </SPAN>\n" );
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