In triangle of ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10cm, and AC = 14 cm, then what is BD : BC ?
Answer & explanation
Correct answer: option 2
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