Multiple choice

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?

  1. 2 cm

  2. 2.5 cm

  3. 3 cm

  4. 3.5 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

By the Angle Bisector Theorem, the ratio of the sides AB/AC equals the ratio of the segments BD/CD. 16/12 = 4/CD. 4/3 = 4/CD, so CD = 3 cm.

AI explanation

By the Angle Bisector Theorem, the ratio of the sides AB to AC is equal to the ratio of the segments BD to CD. Substituting the known values gives 16 / 12 = 4 / CD. Solving this yields CD = 3 cm. The result is 3 cm.

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