In ∆ABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 15cm and CD = 9cm, then CB (in cm) =?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 25
The length of AC = 15 cm
The length of DC = 9 cm
In ∆ABC and ∆ADC:
∠D = ∠A Given
∠ACB = ∠ACD (Given)
So, ∆ABC ~ ∆ADC
AC/BC = DC/AC
15/BC = 9/15
BC = 225/9 = 25 cm