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Given:

AE = 13

BE = 6

CE = 8

BC = 10

AB = AD

BC = DC

To Find:

The length of BD.

Explanation:

DE = BE ( Diagonals of a kite are the perpendicular bisector of each other )

DE = BE = 6

BD = BE + DE = 6 + 6 = 12

Answer:

The length of BD is 12.

The correct option is Option B. 12