document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193619>Question 1193619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given:	right △DEF with <BR>\n" );
document.write( "m∠E = 2 · m∠F and EF = 14radical 3\r<BR>\n" );
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document.write( "Find:	DE and DF\r<BR>\n" );
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document.write( "△D E F is given. ∠D is a right angle.<BR>\n" );
document.write( "simplest radical form	DE	=	<BR>\n" );
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document.write( "approximation	DE	=	\r<BR>\n" );
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document.write( "simplest radical form	DF	=	<BR>\n" );
document.write( "  \r<BR>\n" );
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document.write( "approximation	DF	=	<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 #825848 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> DE is half of the hypotenuse or 7 sqrt (3). It is because it is a 30-60-90 right triangle, which is the only kind where one of the angles is half the other. <BR>\n" );
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document.write( "DE is 7*1.73= 12.21<BR>\n" );
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document.write( "DF is the short leg * sqrt (3)=21<BR>\n" );
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document.write( "it is a 7 sqrt(3)//21//14 sqrt(3) right triangle or squaring each, 147+441=196*3=588 </SPAN>\n" );
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