document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193124>Question 1193124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square is named ABCD point E lies on side <BR>\n" );
document.write( "DC. If AB = 16 and AE = 20, find BE. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825119 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Diagram:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/L5sOugJ.png\">\r<BR>\n" );
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document.write( "Focus on triangle ADE<BR>\n" );
document.write( "Use the pythagorean theorem to find x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%5E2+%2B+x%5E2+=+20%5E2 ALIGN=MIDDLE  ALT=\"16%5E2+%2B+x%5E2+=+20%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256+%2B+x%5E2+=+400 ALIGN=MIDDLE  ALT=\"256+%2B+x%5E2+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+400-256 ALIGN=MIDDLE  ALT=\"x%5E2+=+400-256\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+144 ALIGN=MIDDLE  ALT=\"x%5E2+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+sqrt%28144%29 ALIGN=MIDDLE  ALT=\"x+=+sqrt%28144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12 ALIGN=MIDDLE  ALT=\"x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Segment DE is 12 units long.<BR>\n" );
document.write( "That makes EC = 16 - x = 16-12 = 4 units long.\r<BR>\n" );
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document.write( "Now move onto triangle BEC.<BR>\n" );
document.write( "We'll use the pythagorean theorem again.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28a%5E2+%2B+b%5E2%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28a%5E2+%2B+b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%2816%5E2+%2B+4%5E2%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%2816%5E2+%2B+4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28256+%2B+16%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28256+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28272%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28272%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+16.492423 ALIGN=MIDDLE  ALT=\"c+=+16.492423\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Segment BE is exactly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28272%29 ALIGN=MIDDLE  ALT=\"sqrt%28272%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units long which is approximately 16.492423<BR>\n" );
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