In ΔABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 12 cm, CB = 8 cm, then CD is equal to:
A. 18 cm
B. 16 cm
C. 12 cm
D. 15 cm
Answer: Option A
Solution(By Examveda Team)

$$\eqalign{ & \Delta ABC \sim \Delta DAC \cr & \frac{{AC}}{{CD}} = \frac{{BC}}{{AC}} \cr & \frac{{12}}{{CD}} = \frac{8}{{12}} \cr & CD = 18 \cr} $$
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