document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120260>Question 1120260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: Isosceles triangle ABC with AB = AC<BR>\n" );
document.write( "       Point E is between AB, Point F is between AC and Point D between BC<BR>\n" );
document.write( "       Angles BED and DFC are both right angles<BR>\n" );
document.write( "       The ratio of DE to DF is 5 : 7<BR>\n" );
document.write( "       The length of BC is 48\r<BR>\n" );
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document.write( "Question: What is the length of DC?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735926 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=735926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Triangles BED and CFD are similar: the angles at C and F are right angles; and the angles at B and C are the congruent base angles of the isosceles triangle.<br><BR>\n" );
document.write( "The ratio of similarity between the two triangles is 5:7, because DE and DF are corresponding sides of the similar triangles.<br><BR>\n" );
document.write( "So DB and DC are also in the ratio 5:7; and the sum of the two lengths is 48.<br><BR>\n" );
document.write( "I leave it to you to do the arithmetic to find the lengths of BD and CD. </SPAN>\n" );
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