R and S are the midpoints of the sides XY and XZ, respectively, of ∆XYZ. Also, XR = 15 cm, XY = 25 cm, XS = 12 cm and XZ = 20 cm. RS is equal to:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. .

XR/XY = XS/XZ = RS/YZ
⇒ RS/YZ = 15/25 = 12/20 = 3/5
⇒ RS = (3/5)YZ