document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043602>Question 1043602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABCD is a rectangle where AB = 8,AD= 6 and diagonal DB =10cm which is extended upto E, BE= 5cm, find the length of AE </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659167 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=659167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given a rectangle (ABCD) whose interior angles are 90 degrees<BR>\n" );
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document.write( "Diagonal DB bisects angle ADC, also DB is a traversal which implies that angle DBA equals angle ADC = 45 degrees and angle ABE = 135 degrees<BR>\n" );
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document.write( "Law of cosines gives us the following<BR>\n" );
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document.write( "AE^2 = 8^2 + 5^2 - (8*5*cos(135)<BR>\n" );
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document.write( "AE^2 = 64 + 25 - (40*cos(135))<BR>\n" );
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document.write( "AE^2 = 89 - (-28.28)<BR>\n" );
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document.write( "AE^2 = 117.28<BR>\n" );
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document.write( "AE = 10.82<BR>\n" );
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