document.write( "Question 1157984: Trapezoid ABCD has parallel sides AB and CD, of
\n" ); document.write( "lengths 8 and 16, respectively. Diagonals AC and BD in- tersect at E, and the length of AC is 15. Find the lengths of AE and EC. \n" ); document.write( "

Algebra.Com's Answer #780929 by ikleyn(52780) $\"\"$ $\"About$

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document.write( "Notice that the triangles AEB and CED are similar, with the similarity coefficient  |AB| : |CD| = 16:8 = 2 (from greater to smaller).\r\n" );
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document.write( "Therefore, the segments AE and EC are in proportion 2, too.\r\n" );
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document.write( "Since their total length is  |AC| = 15, the segments  AE and EC are 10  and 5 units long.\r\n" );
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