document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134281>Question 1134281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has a perimeter of 34cm. One of its diagonals is 13cm. Find its sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751635 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Note that a formal algebraic solution is good exercise; but if the speed of solution is important and formal algebra is not required (as, for example, in a competitive math examination), this problem can be solved very quickly.<br><BR>\n" );
document.write( "The length and width of the rectangle and the diagonal form a right triangle; and lengths of both the diagonal and the perimeter are integers.  That means the three lengths of the sides of the triangle form a Pythagorean Triple.<br><BR>\n" );
document.write( "A Pythagorean Triple with hypotenuse 13 is 5-12-13; if the side lengths are 5 and 12, then the perimeter is 2(5+12) = 34, as required.<br><BR>\n" );
document.write( "So the side lengths are 5 and 12. </SPAN>\n" );
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