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 : BC ?
Show answer & explanation
Correct answer: C
Explanation
= 14 cm then what is BD : BC ?
BD : BC = 5 : 12
By the angle bisector theorem: BD/DC = AB/AC = 10/14 = 5/7
So BD : DC = 5 : 7, which means BD : BC = 5 : (5+7) = 5 : 12