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Step-by-step explanation:
according to mid point theorem,
BC=2DE
3X= 2(6X-9)
3X=12X-18
9X=18
X=2
BC =3X=6
DE= 6X-9
DE= 12-9
DE=3
AE/AC=DE/BC
AE/16=3/6
AE/16=1/2
AE=8
Hence BC=6 and AE=8
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