# In a ΔABC, it is given that AD is the internal bisector of ∠A. If AB = 10 cm, AC = 14 cm and BC = 6 cm, then CD = ?A. 4.8 cmB. 3.5 cmC. 7 cmD. 10.5 cm

By internal angle bisector theorem, the bisector of vertical angle of a triangle divides the base in the ratio of the other two sides”
Hence in Δ ABC

10x -84 + 14x = 0

x = CD = 3.5 cm

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