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 #819324 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We draw CE and AD to create trapezoids (trapeziums if you live in the UK) \r\n" );
document.write( "ABCE and ABCD, so that we may use a well-known theorem, which is:\r\n" );
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document.write( "THEOREM: Trapezoid (trapezium) diagonals divide each other in the same ratio.\r\n" );
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document.write( "[The theorem is easily proved by similar triangles.]\r\n" );
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document.write( "In trapezoid ABCE, since the diagonals AC and BE divide each other in the same\r\n" );
document.write( "ratio,\r\n" );
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document.write( "\"AF%2FFC\"\"%22%22=%22%22\"\"EF%2FFB\"\"%22%22=%22%22\"\"16%2F40\"\"%22%22=%22%22\"\"2%2F5\"\r\n" );
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document.write( "The two trapezoids share a common diagonal AC\r\n" );
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document.write( "In trapezoid ABCD, since the diagonals AC and BD divide each other in the same\r\n" );
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document.write( "\"BF%2FFD\"\"%22%22=%22%22\"\"AF%2FFC\"\"%22%22=%22%22\"\"2%2F5\"\r\n" );
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document.write( "\"BF%2FFD\"\"%22%22=%22%22\"\"BF%2F%28FE%2BED%29\"\"%22%22=%22%22\"\"40%2F%2816%2BED%29\"\"%22%22=%22%22\"\"2%2F5\"\r\n" );
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document.write( "\"40%2F%2816%2BED%29\"\"%22%22=%22%22\"\"2%2F5\"\r\n" );
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document.write( "\"40%2A5\"\"%22%22=%22%22\"\"2%2A%2816%2BED%29\"\r\n" );
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document.write( "\"200\"\"%22%22=%22%22\"\"32%2B2%2AED\"\r\n" );
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document.write( "\"168\"\"%22%22=%22%22\"\"2%2AED\"\r\n" );
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document.write( "\"84\"\"%22%22=%22%22\"\"ED\"\r\n" );
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document.write( "Answer = 84 cm.\r\n" );
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document.write( "Edwin
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