document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005607>Question 1005607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the shortest side of a triangle measures 8cm.  The lengths of the other two sides are consecutive odd integers.  Find the lengths of the other two sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621782 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I happen to know the 8/15/17 right triangle.<BR>\n" );
document.write( "By inspection, the two other sides are 15 and 17.  The squares of the short sides equal the square of the long side, which is 17^2, or 289.<BR>\n" );
document.write( "I would wonder a priori if this is a right triangle,since there are no angles given, and one can't solve a triangle given one side without knowing an angle or the perimeter.<BR>\n" );
document.write( "then x=1 other side, x+2=other, and that has to be the hypotenuse.<BR>\n" );
document.write( "x^2+8^2=(x+2)^2<BR>\n" );
document.write( "x^2+64=x^2+4x+4<BR>\n" );
document.write( "60=4x<BR>\n" );
document.write( "x=15<BR>\n" );
document.write( "x+2=17 </SPAN>\n" );
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