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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