ABCD is a square
$\mathrm { AE } \perp \mathrm { EB }$
$| \mathrm { AB } | = 25 \mathrm {~cm}$
$| \mathrm { BE } | = 20 \mathrm {~cm}$
$| \mathrm { DE } | = \mathrm { x }$
According to the given information above, what is x in cm?
A) $8 \sqrt { 6 }$
B) $12 \sqrt { 2 }$
C) $6 \sqrt { 5 }$
D) $5 \sqrt { 10 }$
E) $10 \sqrt { 3 }$