Question

In a triangle ABC,D is a point on side BC such that angle ADC = Angle BAC. if CA = 12cm and CB =8Cm ,then CD is equal to??​

Answer 1

Answer:

The answer to the question is 18 cm.

Which means,CD=18cm

Answer 2

Given: Angle BAC= Angle ADC

Find: CD

Proof: ∆ BAC~ ∆ ADC (AA similarity)

as Angle BAC= Angle ADC

and angle C is common

Therefore, AC/DC= BC/AC (by CPST)

By solving this we get CD= 18 cm