Q13 of 186 Page 263

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 = ?

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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