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:

Answer: Option A

Solution

Answer: Option A

Solution:

$$\begin{array}{rl}& \Delta ABC\sim \Delta DAC\\ & \frac{AC}{CD}=\frac{BC}{AC}\\ & \frac{12}{CD}=\frac{8}{12}\\ & CD=18\end{array}$$