Multiple choice

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

  1. 5:3

  2. 7:5

  3. 5:2

  4. 5:7

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

By the Angle Bisector Theorem, the bisector divides the opposite side proportionally to the adjacent sides: BD/CD = AB/AC. Given AB = 10 cm and AC = 14 cm, we have BD/CD = 10/14 = 5/7. Therefore, BD : CD = 5 : 7. The ratio is directly obtained from the theorem without needing absolute lengths.