In tringle ABC, the bisector of angle BAC cuts the side of BC at D. If AB = 10 cm, and AC = 14 cm then what is BD : BC ?

5 : 3 7 : 5  5 : 2 5 : 7

5 : 7

⇒ According to the concept, \(\frac{AB}{AC}\) = \(\frac{BD}{DC}\) ⇒ \(\frac{10}{14}\) = \(\frac{BD}{DC}\) ⇒ \(\frac{5}{7}\) = \(\frac{BD}{DC}\) So, BD : DC = 5 : 7 Therefore, the answer is 5 : 7