It is given that ΔABC ~ ΔYZX and Area ΔABC : Area ΔXYZ = 256 : 25. If AB = 12 cm, BC = 10cm, CA = 15cm, then what is the value of YZ (in cm)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. .
Area ratio = 256 : 25
Side ratio = √(256/25) = 16/5
AB = 12 cm (corresponds to YZ)
AB/YZ = 16/5
⇒ YZ = (12 × 5)/16 = 15/4 cm