Q. 115.0( 2 Votes )
In a ΔABC it is given that AB = 6 cm, AC = 8 cm and AD is the bisector of ∠A. Then, BD : DC = ?

A. 3 : 4
C. 4 : 3
B. 9 : 16
D. √3 : 2
Answer :
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 ΔABC, we have
Here AB = 6 cm, AC = 8 cm
So
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In a ΔABC it is given that AB = 6 cm, AC = 8 cm and AD is the bisector of ∠A. Then, BD : DC = ?