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as we know that internal bisector of an angle of triangle divides the opposite side internally in the ratio of sides containing the angle .
So this solution is as follow,
Let DC be x
AB/AC = BD/DC
9/6 = BD/DC
3/2 = BD/DC
3/2 = 8-x/x
3x = 2(8-x)
3x = 16 - 2x
3x + 2x = 16
5x = 16
X = 16/5
X = 3.2
So,
DC = 3.2 cm
BD = 4.8 cm
So with the help of this you can fine the lenght of BE .
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