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Answer :

If AD = 3, BD = 6, then

AB = √3² + 6²

AB = √9 + 36

AB = √45

AB = 6.71

BD bisects angle B, therefore:

Angle A = 45 degrees

Angle C = 45 degrees

BC = 6.71

AC = 9.49 or 6.71 * √2)

If AD = 4, DC = 9, then

BD = 9

BC = 12.728 or 9 * √2