document.write( "Question 1188244: In the diagram below, ABCG is a parallelogram. Line BF=40 cm and Line FE=16 cm. Find the length of Line ED\r
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Algebra.Com's Answer #819327 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " The solution by Edwin is fine.\r
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document.write( "Triangles BFC and RFA are similar with the similarity coefficient of   = .\r\n" );
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document.write( "It implies that AE is    of BC,  or  EG is    of BC.\r\n" );
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document.write( "Hence, triangles DEG and DBC are similar with the similarity coefficient  .\r\n" );
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document.write( "THEREFORE,   = ,  or   = .\r\n" );
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document.write( "It implies   = ,  or\r\n" );
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document.write( "    5*DE = 3*(DE + 56)\r\n" );
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document.write( "    5*DE = 3*DE + 3*56\r\n" );
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document.write( "    5*DE - 3*DE = 3*56\r\n" );
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document.write( "        2*DE    = 3*56\r\n" );
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document.write( "          DE    = 3*56/2 = 3*28 = 84.\r\n" );
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document.write( "ANSWER.  DE = 84 units.\r\n" );
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