Q. 144.4( 5 Votes )

In the adjoining figure, AD is the bisector of ∠BAC. If AB = 10 cm, AC = 6 cm, BC = 12 cm, find BD.

Given: AD is the bisector of BAC

and by Angle-Bisector theorem which states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.

And BC – CD = DB

12 – 4.5 = DB

DB = 7.5cm

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