document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206536>Question 1206536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> triangle EBT is similar to SDA. if the perimeter of EBT is 63, the perimeter of SDA is 21. BT=6x, and DA=x+3, find BT and DA </SPAN>\n" );
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document.write( "The linear scale factor from EBT to SDA is 1/3 because 21/63 = 1/3.<BR>\n" );
document.write( "The side lengths of SDA are 1/3 as long compared to the side lengths of EBT.\r<BR>\n" );
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document.write( "DA/BT = 1/3<BR>\n" );
document.write( "(x+3)/(6x) = 1/3<BR>\n" );
document.write( "3(x+3) = 6x*1<BR>\n" );
document.write( "3x+9 = 6x<BR>\n" );
document.write( "9 = 6x-3x<BR>\n" );
document.write( "9 = 3x<BR>\n" );
document.write( "x = 9/3<BR>\n" );
document.write( "x = 3\r<BR>\n" );
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document.write( "BT = x+3 = 3+3 = <font color=red>6</font><BR>\n" );
document.write( "DA = 6x = 6*3 = <font color=red>18</font><BR>\n" );
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document.write( " </SPAN>\n" );
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