Multiple choice

In a ?ABC, AD is angle bisector of ÐA and AB = 6 cm, AC = 5 cm and BD = 3 cm then find DC

  1. 2.5 cm

  2. 3.4 cm

  3. 2.8 cm

  4. 3.0 cm

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

By Angle Bisector Theorem: AD bisects angle A, so BD/DC = AB/AC. Given BD = 3cm, AB = 6cm, AC = 5cm. So 3/DC = 6/5, therefore DC = 3×5/6 = 2.5cm. The angle bisector divides the opposite side proportionally to the adjacent sides.