2020 · Q62
In a ΔABC, AC = 12 cm, AB = 16 cm and AD is the bisector of ∠A. If BD = 4 cm, then what is DC equal to?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A2 cm
- B3 cm
- C4 cm
- D5 cm
Explanation
By the angle-bisector theorem BD/DC = AB/AC = 16/12 = 4/3, so DC = 4*(3/4) = 3 cm. Hence option (B). Check: 4/3 = 16/12 = AB/AC, satisfying the bisector theorem.