In ∆ABC, D is a point on side DC such that ∠ ADC = ∠ BAC. If CA= 12 cm
| In ∆ABC, D is a point on side DC such that ∠ADC = ∠BAC. If CA= 12 cm. CB = 8 cm. then CD is equal to:
A. 18 cm
B. 15 cm
C. 12 cm
D. 16 cm
Right Answer is: A
SOLUTION
It is Given that 
In ∆ ABC and ∆ ADC,
∠BAC = ∠ADC = θ (As given)
∠BCA= ∠ACD (Common Angle)
Then, ∆ ABC ~ ∆ DAC
Hence 
Therefore 
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In ∆ABC, D is a point on side DC such that ∠ ADC = ∠ BAC. If CA= 12 cm