document.write( "Question 1109040: In ΔABC ,D is the midpoint of BC. If Δ ABD~ΔACD, then prove that AB=AC.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #724060 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Since the triangles are congruent, their corresponding sides are congruent.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "     In this problem (in this post), the condition that D is the midpoint of BC, is EXCESSIVE and UNNECESSARY.  \r\n" );
document.write( "\r\n" );
document.write( "     It is not used in the solution.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     The condition  \"Δ ABD~ΔACD\"  OVERPOSES the condition that \"D is the midpoint of BC\".\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );