In triangle ABC, AB = 7 cm, BC = 10 cm and AC = 8 cm. If AD is the angle bisector of ∠BAC, where D is a point on BC, then BD is equal to:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 14/3 cm.
By Angle bisector theorem:
BD : DC = AB : AC
⇒ BD : DC = 7 : 8
So,
BD = (7/15) × 10
⇒ BD = 14/3 cm