document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490854>Question 490854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If D , E and F are the midpoints of sides AB , BC , and CA respectively of an isosceles triangle ABC , prove that triangle DEF is also isosceles triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #334342 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=334342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at triangles, ADF and FEC<BR>\n" );
document.write( "AD = EC<BR>\n" );
document.write( "AF = FC<BR>\n" );
document.write( "angle A = angle C<BR>\n" );
document.write( "--> By SAS, triangles ADF and FEC are congruent,therefore DF = FE making triangle DEF an isosceles triangle<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );