In the figure below, AD is the angle bisector of angle A. Which of the following is true?
Explanation:
AD is the angle bisector of ∠A = 100°. ∴ ∠BAD = ∠CAD = 50°
We know side opposite to larger angle is larger than side opposite to smaller angle.
In triangle ABD, ∠ABD > ∠BAD ⇒ AD > BD ...(1)
In triangle ADC, ∠DAC > ∠ACD ⇒ DC > AD ...(2)
From (1) and (2) ⇒ DC > AD > BD
Hence, option (c).
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