In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm, then what is BD : DC ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 5 : 7.
The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle
⇒ AB/AC = BD/CD
⇒ BD/CD = 10/14
⇒ BD : CD = 5 : 7