document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=494557>Question 494557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a right triangle, the hypotenuse is 1 meter more than the length of one of the legs and this leg is 17 meters more than the length of the shortest leg. What are the lengths of the three sides 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 #335951 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=335951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + (x + 17)^2 = (x + 18)^2 <BR>\n" );
document.write( "x^2 + x^2 + 34x + 289 =x^2 + 36x + 324<BR>\n" );
document.write( "2x^2 + 34x + 289 = x^2 + 36x + 324<BR>\n" );
document.write( "x^2 -2x - 35 = 0<BR>\n" );
document.write( "(x -7)(x + 5)<BR>\n" );
document.write( "x = 7 meters small side<BR>\n" );
document.write( "24 meters = other leg.<BR>\n" );
document.write( "25 meters  = hypotenuse<BR>\n" );
document.write( "7^2 + 24^2 = 25^2<BR>\n" );
document.write( "49 + 576 = 635 <BR>\n" );
document.write( "This does check.<BR>\n" );
document.write( "Cleomenius.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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