In a triangle ABC, AB=16 cm, AC=12 cm and AD is the bisector of \angle A. If BD=4 cm, then what is CD equal to?
- A. 2 cm
- B. 2.5 cm
- C. 3 cm ✓
- D. 3.5 cm
Correct Answer: C. 3 cm
Explanation
By the internal angle bisector theorem, \frac{AB}{AC} = \frac{BD}{CD}. Substituting the given values gives \frac{16}{12} = \frac{4}{CD} \implies \frac{4}{3} = \frac{4}{CD} \implies CD = 3 cm.
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