In triangle ABC, the bisector of angle BAC cuts the line BC at D. If BD = 6 and BC = 14 then what is the value of AB : AC?
Answer & explanation
Correct answer: option 1
In triangle ABC, the bisector of angle BAC cuts the line BC at D.
BD = 6 and BC = 14
DC = BC - BD = 14 - 6 = 8 cm
According to the Angle Bisector Theorem,
\(\frac{BD}{CD}\) = \(\frac{AB}{AC}\)
⇒ \(\frac{6}{8}\) = \(\frac{AB}{AC}\)
⇒ AB : AC = 3 : 4