Allied & ICAR Exam Bank • ALLIED_2368 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In $\triangle ABC$, the internal bisector of $\angle A$ meets BC at D. If AB = 10 cm, AC = 14 cm, and BC = 12 cm, the length of segment BD is:

Options:

  • (A) 5 cm
  • (B) 6 cm
  • (C) 4.5 cm
  • (D) 7 cm

Answer Key:

A

Step-by-Step Solution & Explanation

Angle bisector theorem: $BD / DC = AB / AC = 10/14 = 5/7$. $BD = \frac{5}{5 + 7} \times 12 = 5$ cm.
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