Given,

AD/DB = 2/3

AC = 18cm

Let AE = x

So, EC = 18 – x cm

Since, DE//BC, thus,

AD/DB = AE/EC

By putting the values, we get;

2/3 = x/(18-x)

36−2x=3x

5x=36

x=7.2 cm

Therefore, the value of AE is 7.2 cm.

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