The value of DE in the triangle given is 7
Using the concept of similar triangles ; we can create the proportional expression thus ;
AE = AD + BD
DE = BC
Inputting the values into the relation;
8 = (16 + 8)
DE = 21
Now we have ;
8 = 24
DE = 21
cross multiply
24(DE) = 21 × 8
24(DE) = 168
DE = 7
Hence, the value of DE is 7