In △ABC,D is a point on side BC such that ∠ ADC = ∠ BAC. If CA = 12 cm, CD = 8 cm, then CB ( in cm) = ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 18
Δ ABC & Δ CDA two angle ∠ ADC = ∠ BAC
and angle C is common
so Δ ABC & Δ CDA is similar
now CA/CB = CD/CA
12/CB = 8/12
CB = 144/8 = 18 cm