Diagonal \( \mathrm{AC} \) of a rectangle \( \mathrm{ABCD} \) is produced to the point \( \mathr...

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Diagonal \( \mathrm{AC} \) of a rectangle \( \mathrm{ABCD} \) is produced to the point \( \mathrm{E} \) such that \( \mathrm{AC}: \mathrm{CE}=2: 1, \mathrm{AB}=8 \mathrm{~cm} \) and \( \mathrm{BC}=6 \mathrm{~m} \). The length of \( \mathrm{DE} \) is
a. \( 2 \sqrt{19} \mathrm{~cm} \)
b. \( 15 \mathrm{~cm} \)
c. \( 3 \sqrt{17} \mathrm{~cm} \)
d. \( 13 \mathrm{~cm} \)
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