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Examveda

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)

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

This Question Belongs to Arithmetic Ability >> Geometry

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