document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028693>Question 1028693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that the triangle formed by joining the midpoints of the sides of an isosceles triangle is also isosceles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643767 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=cone\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "AB = AC<BR>\n" );
document.write( "3=4\r<BR>\n" );
document.write( "\n" );
document.write( "DE || BC\r<BR>\n" );
document.write( "\n" );
document.write( "By corresponding angles theorem\r<BR>\n" );
document.write( "\n" );
document.write( "So 1=3<BR>\n" );
document.write( "and 2=4\r<BR>\n" );
document.write( "\n" );
document.write( "But 3=4\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore 1=2\r<BR>\n" );
document.write( "\n" );
document.write( "In triangle ADE angle 1=angle 2\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore Ad=AE \r<BR>\n" );
document.write( "\n" );
document.write( "Hence ADE is isosceles triangle </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );