Question 1157984
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Notice that the triangles AEB and CED are similar, with the similarity coefficient  |AB| : |CD| = 16:8 = 2 (from greater to smaller).


Therefore, the segments AE and EC are in proportion 2, too.


Since their total length is  |AC| = 15, the segments  AE and EC are 10  and 5 units long.
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Solved.