document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482170>Question 482170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of triangle PQR.show that triangle abc similar triangle pqr  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330687 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=330687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> AB And PQ are proportional; this is given.<BR>\n" );
document.write( "BC and QR are proportional, this is given. We take the median of each which divides each segment in 1/2. Therefore, BD and QM  are proportional. <BR>\n" );
document.write( "AD and PM are proportional, this is given.<BR>\n" );
document.write( "Therefore, triangles ABD and PQM are similar.<BR>\n" );
document.write( "Angle  B and Q are congruent are congruent, corresponding angles of similar triangles.<BR>\n" );
document.write( "Therefore, triangle ABC is similar to PQR are similar by the SAS Similarity theorem.<BR>\n" );
document.write( "Cleomenius. </SPAN>\n" );
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