2022 · Q81
In a triangle ABC, AB = 16 cm, AC = 12 cm and AD is the bisector of ∠A. If BD = 4 cm, then what is CD equal to?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A2 cm
- B2.5 cm
- C3 cm
- D3.5 cm
Explanation
The internal angle bisector divides the opposite side in the ratio of the adjacent sides: BD/DC = AB/AC. So 4/DC = 16/12 = 4/3, giving DC = 3 cm. Hence option (c).